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Finding the Fourth Proportional to 938.58, 1,294.29 and 723.12

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Solution

The fourth proportional to 938.58, 1,294.29 and 723.12 is: 997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.58 : 1,294.29 = 723.12 : x
  2. Step 2: Convert to fraction form
    938.58/1,294.29 = 723.12/x
  3. Step 3: Cross multiply
    938.58x = 1,294.29 × 723.12
  4. Step 4: Simplify right side
    938.58x = 935,926.98
  5. Step 5: Solve for x
    x = 935,926.98/938.58
  6. Step 6: Final answer
    x = 997.17

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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.