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Finding the Fourth Proportional to 1,152.80, 1,729.22 and 331.10

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Solution

The fourth proportional to 1,152.80, 1,729.22 and 331.10 is: 496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.80 : 1,729.22 = 331.10 : x
  2. Step 2: Convert to fraction form
    1,152.80/1,729.22 = 331.10/x
  3. Step 3: Cross multiply
    1,152.80x = 1,729.22 × 331.10
  4. Step 4: Simplify right side
    1,152.80x = 572,543.09
  5. Step 5: Solve for x
    x = 572,543.09/1,152.80
  6. Step 6: Final answer
    x = 496.65

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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.