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Finding the Fourth Proportional to 1,153.20, 1,729.88 and 331.48

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Solution

The fourth proportional to 1,153.20, 1,729.88 and 331.48 is: 497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.20 : 1,729.88 = 331.48 : x
  2. Step 2: Convert to fraction form
    1,153.20/1,729.88 = 331.48/x
  3. Step 3: Cross multiply
    1,153.20x = 1,729.88 × 331.48
  4. Step 4: Simplify right side
    1,153.20x = 573,420.62
  5. Step 5: Solve for x
    x = 573,420.62/1,153.20
  6. Step 6: Final answer
    x = 497.24

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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.