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Finding the Fourth Proportional to 1,487.32, 2,231.04 and 391.80

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Solution

The fourth proportional to 1,487.32, 2,231.04 and 391.80 is: 587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.32 : 2,231.04 = 391.80 : x
  2. Step 2: Convert to fraction form
    1,487.32/2,231.04 = 391.80/x
  3. Step 3: Cross multiply
    1,487.32x = 2,231.04 × 391.80
  4. Step 4: Simplify right side
    1,487.32x = 874,121.47
  5. Step 5: Solve for x
    x = 874,121.47/1,487.32
  6. Step 6: Final answer
    x = 587.72

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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.