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Finding the Fourth Proportional to 1,003.29, 1,505.13 and 354.03

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Solution

The fourth proportional to 1,003.29, 1,505.13 and 354.03 is: 531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.29 : 1,505.13 = 354.03 : x
  2. Step 2: Convert to fraction form
    1,003.29/1,505.13 = 354.03/x
  3. Step 3: Cross multiply
    1,003.29x = 1,505.13 × 354.03
  4. Step 4: Simplify right side
    1,003.29x = 532,861.17
  5. Step 5: Solve for x
    x = 532,861.17/1,003.29
  6. Step 6: Final answer
    x = 531.11

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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.