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Finding the Fourth Proportional to 710.92, 1,059.53 and 709.84

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Solution

The fourth proportional to 710.92, 1,059.53 and 709.84 is: 1,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.92 : 1,059.53 = 709.84 : x
  2. Step 2: Convert to fraction form
    710.92/1,059.53 = 709.84/x
  3. Step 3: Cross multiply
    710.92x = 1,059.53 × 709.84
  4. Step 4: Simplify right side
    710.92x = 752,096.78
  5. Step 5: Solve for x
    x = 752,096.78/710.92
  6. Step 6: Final answer
    x = 1,057.92

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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.