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Finding the Fourth Proportional to 1,502.31, 2,253.62 and 578.64

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Solution

The fourth proportional to 1,502.31, 2,253.62 and 578.64 is: 868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.31 : 2,253.62 = 578.64 : x
  2. Step 2: Convert to fraction form
    1,502.31/2,253.62 = 578.64/x
  3. Step 3: Cross multiply
    1,502.31x = 2,253.62 × 578.64
  4. Step 4: Simplify right side
    1,502.31x = 1,304,044.57
  5. Step 5: Solve for x
    x = 1,304,044.57/1,502.31
  6. Step 6: Final answer
    x = 868.02

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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.