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Finding the Fourth Proportional to 711.92, 1,061.02 and 710.84

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Solution

The fourth proportional to 711.92, 1,061.02 and 710.84 is: 1,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.92 : 1,061.02 = 710.84 : x
  2. Step 2: Convert to fraction form
    711.92/1,061.02 = 710.84/x
  3. Step 3: Cross multiply
    711.92x = 1,061.02 × 710.84
  4. Step 4: Simplify right side
    711.92x = 754,215.46
  5. Step 5: Solve for x
    x = 754,215.46/711.92
  6. Step 6: Final answer
    x = 1,059.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.