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Finding the Fourth Proportional to 992.04, 1,488.06 and 538.92

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Solution

The fourth proportional to 992.04, 1,488.06 and 538.92 is: 808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.04 : 1,488.06 = 538.92 : x
  2. Step 2: Convert to fraction form
    992.04/1,488.06 = 538.92/x
  3. Step 3: Cross multiply
    992.04x = 1,488.06 × 538.92
  4. Step 4: Simplify right side
    992.04x = 801,945.30
  5. Step 5: Solve for x
    x = 801,945.30/992.04
  6. Step 6: Final answer
    x = 808.38

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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.