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Finding the Fourth Proportional to 703.92, 972.14 and 538.12

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Solution

The fourth proportional to 703.92, 972.14 and 538.12 is: 743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.92 : 972.14 = 538.12 : x
  2. Step 2: Convert to fraction form
    703.92/972.14 = 538.12/x
  3. Step 3: Cross multiply
    703.92x = 972.14 × 538.12
  4. Step 4: Simplify right side
    703.92x = 523,127.98
  5. Step 5: Solve for x
    x = 523,127.98/703.92
  6. Step 6: Final answer
    x = 743.16

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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.