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Finding the Fourth Proportional to 1,237.07, 1,855.10 and 457.13

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Solution

The fourth proportional to 1,237.07, 1,855.10 and 457.13 is: 685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.07 : 1,855.10 = 457.13 : x
  2. Step 2: Convert to fraction form
    1,237.07/1,855.10 = 457.13/x
  3. Step 3: Cross multiply
    1,237.07x = 1,855.10 × 457.13
  4. Step 4: Simplify right side
    1,237.07x = 848,017.21
  5. Step 5: Solve for x
    x = 848,017.21/1,237.07
  6. Step 6: Final answer
    x = 685.50

Related Problems

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Half scale
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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.