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Finding the Fourth Proportional to 708.05, 1,060.11 and 534.20

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Solution

The fourth proportional to 708.05, 1,060.11 and 534.20 is: 799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.05 : 1,060.11 = 534.20 : x
  2. Step 2: Convert to fraction form
    708.05/1,060.11 = 534.20/x
  3. Step 3: Cross multiply
    708.05x = 1,060.11 × 534.20
  4. Step 4: Simplify right side
    708.05x = 566,305.46
  5. Step 5: Solve for x
    x = 566,305.46/708.05
  6. Step 6: Final answer
    x = 799.81

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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.