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Finding the Fourth Proportional to 966.60, 1,333.87 and 524.49

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Solution

The fourth proportional to 966.60, 1,333.87 and 524.49 is: 723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.60 : 1,333.87 = 524.49 : x
  2. Step 2: Convert to fraction form
    966.60/1,333.87 = 524.49/x
  3. Step 3: Cross multiply
    966.60x = 1,333.87 × 524.49
  4. Step 4: Simplify right side
    966.60x = 699,607.79
  5. Step 5: Solve for x
    x = 699,607.79/966.60
  6. Step 6: Final answer
    x = 723.78

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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.