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Finding the Fourth Proportional to 1,513.74, 2,269.97 and 576.53

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Solution

The fourth proportional to 1,513.74, 2,269.97 and 576.53 is: 864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.74 : 2,269.97 = 576.53 : x
  2. Step 2: Convert to fraction form
    1,513.74/2,269.97 = 576.53/x
  3. Step 3: Cross multiply
    1,513.74x = 2,269.97 × 576.53
  4. Step 4: Simplify right side
    1,513.74x = 1,308,691.57
  5. Step 5: Solve for x
    x = 1,308,691.57/1,513.74
  6. Step 6: Final answer
    x = 864.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.