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Finding the Fourth Proportional to 706.02, 974.25 and 391.23

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Solution

The fourth proportional to 706.02, 974.25 and 391.23 is: 539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.02 : 974.25 = 391.23 : x
  2. Step 2: Convert to fraction form
    706.02/974.25 = 391.23/x
  3. Step 3: Cross multiply
    706.02x = 974.25 × 391.23
  4. Step 4: Simplify right side
    706.02x = 381,155.83
  5. Step 5: Solve for x
    x = 381,155.83/706.02
  6. Step 6: Final answer
    x = 539.87

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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.