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Finding the Fourth Proportional to 1,233.68, 1,849.66 and 411.86

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Solution

The fourth proportional to 1,233.68, 1,849.66 and 411.86 is: 617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.68 : 1,849.66 = 411.86 : x
  2. Step 2: Convert to fraction form
    1,233.68/1,849.66 = 411.86/x
  3. Step 3: Cross multiply
    1,233.68x = 1,849.66 × 411.86
  4. Step 4: Simplify right side
    1,233.68x = 761,800.97
  5. Step 5: Solve for x
    x = 761,800.97/1,233.68
  6. Step 6: Final answer
    x = 617.50

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Double scale
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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.