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Finding the Fourth Proportional to 938.72, 1,407.31 and 707.15

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Solution

The fourth proportional to 938.72, 1,407.31 and 707.15 is: 1,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.72 : 1,407.31 = 707.15 : x
  2. Step 2: Convert to fraction form
    938.72/1,407.31 = 707.15/x
  3. Step 3: Cross multiply
    938.72x = 1,407.31 × 707.15
  4. Step 4: Simplify right side
    938.72x = 995,181.02
  5. Step 5: Solve for x
    x = 995,181.02/938.72
  6. Step 6: Final answer
    x = 1,060.14

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