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Finding the Fourth Proportional to 1,034.55, 1,551.38 and 385.29

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Solution

The fourth proportional to 1,034.55, 1,551.38 and 385.29 is: 577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.55 : 1,551.38 = 385.29 : x
  2. Step 2: Convert to fraction form
    1,034.55/1,551.38 = 385.29/x
  3. Step 3: Cross multiply
    1,034.55x = 1,551.38 × 385.29
  4. Step 4: Simplify right side
    1,034.55x = 597,729.27
  5. Step 5: Solve for x
    x = 597,729.27/1,034.55
  6. Step 6: Final answer
    x = 577.77

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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.