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Finding the Fourth Proportional to 708.05, 1,060.12 and 534.18

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Solution

The fourth proportional to 708.05, 1,060.12 and 534.18 is: 799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.05 : 1,060.12 = 534.18 : x
  2. Step 2: Convert to fraction form
    708.05/1,060.12 = 534.18/x
  3. Step 3: Cross multiply
    708.05x = 1,060.12 × 534.18
  4. Step 4: Simplify right side
    708.05x = 566,299.54
  5. Step 5: Solve for x
    x = 566,299.54/708.05
  6. Step 6: Final answer
    x = 799.80

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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.