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Finding the Fourth Proportional to 1,233.40, 1,850.10 and 411.40

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Solution

The fourth proportional to 1,233.40, 1,850.10 and 411.40 is: 617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.40 : 1,850.10 = 411.40 : x
  2. Step 2: Convert to fraction form
    1,233.40/1,850.10 = 411.40/x
  3. Step 3: Cross multiply
    1,233.40x = 1,850.10 × 411.40
  4. Step 4: Simplify right side
    1,233.40x = 761,131.14
  5. Step 5: Solve for x
    x = 761,131.14/1,233.40
  6. Step 6: Final answer
    x = 617.10

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.