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Finding the Fourth Proportional to 992.38, 1,488.19 and 342.94

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Solution

The fourth proportional to 992.38, 1,488.19 and 342.94 is: 514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.38 : 1,488.19 = 342.94 : x
  2. Step 2: Convert to fraction form
    992.38/1,488.19 = 342.94/x
  3. Step 3: Cross multiply
    992.38x = 1,488.19 × 342.94
  4. Step 4: Simplify right side
    992.38x = 510,359.88
  5. Step 5: Solve for x
    x = 510,359.88/992.38
  6. Step 6: Final answer
    x = 514.28

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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.