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Finding the Fourth Proportional to 711.74, 981.57 and 572.32

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Solution

The fourth proportional to 711.74, 981.57 and 572.32 is: 789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.74 : 981.57 = 572.32 : x
  2. Step 2: Convert to fraction form
    711.74/981.57 = 572.32/x
  3. Step 3: Cross multiply
    711.74x = 981.57 × 572.32
  4. Step 4: Simplify right side
    711.74x = 561,766.77
  5. Step 5: Solve for x
    x = 561,766.77/711.74
  6. Step 6: Final answer
    x = 789.29

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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.