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Finding the Fourth Proportional to 705.89, 974.10 and 391.17

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Solution

The fourth proportional to 705.89, 974.10 and 391.17 is: 539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.89 : 974.10 = 391.17 : x
  2. Step 2: Convert to fraction form
    705.89/974.10 = 391.17/x
  3. Step 3: Cross multiply
    705.89x = 974.10 × 391.17
  4. Step 4: Simplify right side
    705.89x = 381,038.70
  5. Step 5: Solve for x
    x = 381,038.70/705.89
  6. Step 6: Final answer
    x = 539.80

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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.