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Finding the Fourth Proportional to 1,324.48, 1,987.04 and 502.80

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Solution

The fourth proportional to 1,324.48, 1,987.04 and 502.80 is: 754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.48 : 1,987.04 = 502.80 : x
  2. Step 2: Convert to fraction form
    1,324.48/1,987.04 = 502.80/x
  3. Step 3: Cross multiply
    1,324.48x = 1,987.04 × 502.80
  4. Step 4: Simplify right side
    1,324.48x = 999,083.71
  5. Step 5: Solve for x
    x = 999,083.71/1,324.48
  6. Step 6: Final answer
    x = 754.32

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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.