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Finding the Fourth Proportional to 966.53, 1,333.81 and 524.43

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Solution

The fourth proportional to 966.53, 1,333.81 and 524.43 is: 723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.53 : 1,333.81 = 524.43 : x
  2. Step 2: Convert to fraction form
    966.53/1,333.81 = 524.43/x
  3. Step 3: Cross multiply
    966.53x = 1,333.81 × 524.43
  4. Step 4: Simplify right side
    966.53x = 699,488.67
  5. Step 5: Solve for x
    x = 699,488.67/966.53
  6. Step 6: Final answer
    x = 723.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.