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Finding the Fourth Proportional to 1,324.62, 1,987.06 and 458.82

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Solution

The fourth proportional to 1,324.62, 1,987.06 and 458.82 is: 688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.62 : 1,987.06 = 458.82 : x
  2. Step 2: Convert to fraction form
    1,324.62/1,987.06 = 458.82/x
  3. Step 3: Cross multiply
    1,324.62x = 1,987.06 × 458.82
  4. Step 4: Simplify right side
    1,324.62x = 911,702.87
  5. Step 5: Solve for x
    x = 911,702.87/1,324.62
  6. Step 6: Final answer
    x = 688.28

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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.