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Finding the Fourth Proportional to 992.81, 1,488.28 and 472.55

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Solution

The fourth proportional to 992.81, 1,488.28 and 472.55 is: 708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.81 : 1,488.28 = 472.55 : x
  2. Step 2: Convert to fraction form
    992.81/1,488.28 = 472.55/x
  3. Step 3: Cross multiply
    992.81x = 1,488.28 × 472.55
  4. Step 4: Simplify right side
    992.81x = 703,286.71
  5. Step 5: Solve for x
    x = 703,286.71/992.81
  6. Step 6: Final answer
    x = 708.38

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