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Finding the Fourth Proportional to 1,324.71, 1,987.07 and 459.03

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Solution

The fourth proportional to 1,324.71, 1,987.07 and 459.03 is: 688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.71 : 1,987.07 = 459.03 : x
  2. Step 2: Convert to fraction form
    1,324.71/1,987.07 = 459.03/x
  3. Step 3: Cross multiply
    1,324.71x = 1,987.07 × 459.03
  4. Step 4: Simplify right side
    1,324.71x = 912,122.45
  5. Step 5: Solve for x
    x = 912,122.45/1,324.71
  6. Step 6: Final answer
    x = 688.55

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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.