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Finding the Fourth Proportional to 992.97, 1,490.58 and 582.39

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Solution

The fourth proportional to 992.97, 1,490.58 and 582.39 is: 874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.97 : 1,490.58 = 582.39 : x
  2. Step 2: Convert to fraction form
    992.97/1,490.58 = 582.39/x
  3. Step 3: Cross multiply
    992.97x = 1,490.58 × 582.39
  4. Step 4: Simplify right side
    992.97x = 868,098.89
  5. Step 5: Solve for x
    x = 868,098.89/992.97
  6. Step 6: Final answer
    x = 874.24

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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.