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Finding the Fourth Proportional to 938.14, 1,294.63 and 524.14

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Solution

The fourth proportional to 938.14, 1,294.63 and 524.14 is: 723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.14 : 1,294.63 = 524.14 : x
  2. Step 2: Convert to fraction form
    938.14/1,294.63 = 524.14/x
  3. Step 3: Cross multiply
    938.14x = 1,294.63 × 524.14
  4. Step 4: Simplify right side
    938.14x = 678,567.37
  5. Step 5: Solve for x
    x = 678,567.37/938.14
  6. Step 6: Final answer
    x = 723.31

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.