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Finding the Fourth Proportional to 966.59, 1,448.33 and 503.68

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Solution

The fourth proportional to 966.59, 1,448.33 and 503.68 is: 754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.59 : 1,448.33 = 503.68 : x
  2. Step 2: Convert to fraction form
    966.59/1,448.33 = 503.68/x
  3. Step 3: Cross multiply
    966.59x = 1,448.33 × 503.68
  4. Step 4: Simplify right side
    966.59x = 729,494.85
  5. Step 5: Solve for x
    x = 729,494.85/966.59
  6. Step 6: Final answer
    x = 754.71

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Why These Related Problems?

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