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Finding the Fourth Proportional to 1,034.15, 1,551.23 and 1,003.78

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Solution

The fourth proportional to 1,034.15, 1,551.23 and 1,003.78 is: 1,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.15 : 1,551.23 = 1,003.78 : x
  2. Step 2: Convert to fraction form
    1,034.15/1,551.23 = 1,003.78/x
  3. Step 3: Cross multiply
    1,034.15x = 1,551.23 × 1,003.78
  4. Step 4: Simplify right side
    1,034.15x = 1,557,080.87
  5. Step 5: Solve for x
    x = 1,557,080.87/1,034.15
  6. Step 6: Final answer
    x = 1,505.66

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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.