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Finding the Fourth Proportional to 1,034.27, 1,550.72 and 589.55

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Solution

The fourth proportional to 1,034.27, 1,550.72 and 589.55 is: 883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.27 : 1,550.72 = 589.55 : x
  2. Step 2: Convert to fraction form
    1,034.27/1,550.72 = 589.55/x
  3. Step 3: Cross multiply
    1,034.27x = 1,550.72 × 589.55
  4. Step 4: Simplify right side
    1,034.27x = 914,226.98
  5. Step 5: Solve for x
    x = 914,226.98/1,034.27
  6. Step 6: Final answer
    x = 883.93

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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.