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Finding the Fourth Proportional to 1,452.27, 2,176.79 and 573.96

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Solution

The fourth proportional to 1,452.27, 2,176.79 and 573.96 is: 860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.27 : 2,176.79 = 573.96 : x
  2. Step 2: Convert to fraction form
    1,452.27/2,176.79 = 573.96/x
  3. Step 3: Cross multiply
    1,452.27x = 2,176.79 × 573.96
  4. Step 4: Simplify right side
    1,452.27x = 1,249,387.52
  5. Step 5: Solve for x
    x = 1,249,387.52/1,452.27
  6. Step 6: Final answer
    x = 860.30

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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.