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Finding the Fourth Proportional to 632.59, 948.89 and 505.15

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Solution

The fourth proportional to 632.59, 948.89 and 505.15 is: 757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.59 : 948.89 = 505.15 : x
  2. Step 2: Convert to fraction form
    632.59/948.89 = 505.15/x
  3. Step 3: Cross multiply
    632.59x = 948.89 × 505.15
  4. Step 4: Simplify right side
    632.59x = 479,331.78
  5. Step 5: Solve for x
    x = 479,331.78/632.59
  6. Step 6: Final answer
    x = 757.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.