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Finding the Fourth Proportional to 1,001.55, 1,502.45 and 343.56

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Solution

The fourth proportional to 1,001.55, 1,502.45 and 343.56 is: 515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.55 : 1,502.45 = 343.56 : x
  2. Step 2: Convert to fraction form
    1,001.55/1,502.45 = 343.56/x
  3. Step 3: Cross multiply
    1,001.55x = 1,502.45 × 343.56
  4. Step 4: Simplify right side
    1,001.55x = 516,182.58
  5. Step 5: Solve for x
    x = 516,182.58/1,001.55
  6. Step 6: Final answer
    x = 515.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.