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Finding the Fourth Proportional to 1,003.43, 1,505.15 and 354.17

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Solution

The fourth proportional to 1,003.43, 1,505.15 and 354.17 is: 531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.43 : 1,505.15 = 354.17 : x
  2. Step 2: Convert to fraction form
    1,003.43/1,505.15 = 354.17/x
  3. Step 3: Cross multiply
    1,003.43x = 1,505.15 × 354.17
  4. Step 4: Simplify right side
    1,003.43x = 533,069.68
  5. Step 5: Solve for x
    x = 533,069.68/1,003.43
  6. Step 6: Final answer
    x = 531.25

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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.