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Finding the Fourth Proportional to 992.06, 1,488.56 and 505.46

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Solution

The fourth proportional to 992.06, 1,488.56 and 505.46 is: 758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.06 : 1,488.56 = 505.46 : x
  2. Step 2: Convert to fraction form
    992.06/1,488.56 = 505.46/x
  3. Step 3: Cross multiply
    992.06x = 1,488.56 × 505.46
  4. Step 4: Simplify right side
    992.06x = 752,403.20
  5. Step 5: Solve for x
    x = 752,403.20/992.06
  6. Step 6: Final answer
    x = 758.42

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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.