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Finding the Fourth Proportional to 992.92, 1,490.75 and 506.31

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Solution

The fourth proportional to 992.92, 1,490.75 and 506.31 is: 760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.92 : 1,490.75 = 506.31 : x
  2. Step 2: Convert to fraction form
    992.92/1,490.75 = 506.31/x
  3. Step 3: Cross multiply
    992.92x = 1,490.75 × 506.31
  4. Step 4: Simplify right side
    992.92x = 754,781.63
  5. Step 5: Solve for x
    x = 754,781.63/992.92
  6. Step 6: Final answer
    x = 760.16

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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.