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Finding the Fourth Proportional to 992.28, 1,488.48 and 498.69

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Solution

The fourth proportional to 992.28, 1,488.48 and 498.69 is: 748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.28 : 1,488.48 = 498.69 : x
  2. Step 2: Convert to fraction form
    992.28/1,488.48 = 498.69/x
  3. Step 3: Cross multiply
    992.28x = 1,488.48 × 498.69
  4. Step 4: Simplify right side
    992.28x = 742,288.22
  5. Step 5: Solve for x
    x = 742,288.22/992.28
  6. Step 6: Final answer
    x = 748.06

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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.