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Finding the Fourth Proportional to 992.46, 1,488.78 and 559.38

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Solution

The fourth proportional to 992.46, 1,488.78 and 559.38 is: 839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.46 : 1,488.78 = 559.38 : x
  2. Step 2: Convert to fraction form
    992.46/1,488.78 = 559.38/x
  3. Step 3: Cross multiply
    992.46x = 1,488.78 × 559.38
  4. Step 4: Simplify right side
    992.46x = 832,793.76
  5. Step 5: Solve for x
    x = 832,793.76/992.46
  6. Step 6: Final answer
    x = 839.12

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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.