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Finding the Fourth Proportional to 757.92, 1,045.78 and 478.32

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Solution

The fourth proportional to 757.92, 1,045.78 and 478.32 is: 659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.92 : 1,045.78 = 478.32 : x
  2. Step 2: Convert to fraction form
    757.92/1,045.78 = 478.32/x
  3. Step 3: Cross multiply
    757.92x = 1,045.78 × 478.32
  4. Step 4: Simplify right side
    757.92x = 500,217.49
  5. Step 5: Solve for x
    x = 500,217.49/757.92
  6. Step 6: Final answer
    x = 659.99

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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.