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Finding the Fourth Proportional to 1,356.11, 2,034.90 and 576.56

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Solution

The fourth proportional to 1,356.11, 2,034.90 and 576.56 is: 865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.11 : 2,034.90 = 576.56 : x
  2. Step 2: Convert to fraction form
    1,356.11/2,034.90 = 576.56/x
  3. Step 3: Cross multiply
    1,356.11x = 2,034.90 × 576.56
  4. Step 4: Simplify right side
    1,356.11x = 1,173,231.77
  5. Step 5: Solve for x
    x = 1,173,231.77/1,356.11
  6. Step 6: Final answer
    x = 865.15

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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.