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Finding the Fourth Proportional to 966.55, 1,449.14 and 496.87

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Solution

The fourth proportional to 966.55, 1,449.14 and 496.87 is: 744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.55 : 1,449.14 = 496.87 : x
  2. Step 2: Convert to fraction form
    966.55/1,449.14 = 496.87/x
  3. Step 3: Cross multiply
    966.55x = 1,449.14 × 496.87
  4. Step 4: Simplify right side
    966.55x = 720,034.19
  5. Step 5: Solve for x
    x = 720,034.19/966.55
  6. Step 6: Final answer
    x = 744.95

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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.