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Finding the Fourth Proportional to 992.53, 1,488.96 and 499.17

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Solution

The fourth proportional to 992.53, 1,488.96 and 499.17 is: 748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.53 : 1,488.96 = 499.17 : x
  2. Step 2: Convert to fraction form
    992.53/1,488.96 = 499.17/x
  3. Step 3: Cross multiply
    992.53x = 1,488.96 × 499.17
  4. Step 4: Simplify right side
    992.53x = 743,244.16
  5. Step 5: Solve for x
    x = 743,244.16/992.53
  6. Step 6: Final answer
    x = 748.84

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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.