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Finding the Fourth Proportional to 992.91, 1,488.39 and 472.77

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Solution

The fourth proportional to 992.91, 1,488.39 and 472.77 is: 708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.91 : 1,488.39 = 472.77 : x
  2. Step 2: Convert to fraction form
    992.91/1,488.39 = 472.77/x
  3. Step 3: Cross multiply
    992.91x = 1,488.39 × 472.77
  4. Step 4: Simplify right side
    992.91x = 703,663.39
  5. Step 5: Solve for x
    x = 703,663.39/992.91
  6. Step 6: Final answer
    x = 708.69

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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.