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Finding the Fourth Proportional to 709.53, 979.19 and 534.57

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Solution

The fourth proportional to 709.53, 979.19 and 534.57 is: 737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.53 : 979.19 = 534.57 : x
  2. Step 2: Convert to fraction form
    709.53/979.19 = 534.57/x
  3. Step 3: Cross multiply
    709.53x = 979.19 × 534.57
  4. Step 4: Simplify right side
    709.53x = 523,442.93
  5. Step 5: Solve for x
    x = 523,442.93/709.53
  6. Step 6: Final answer
    x = 737.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.