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Finding the Fourth Proportional to 1,052.88, 1,452.97 and 587.13

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Solution

The fourth proportional to 1,052.88, 1,452.97 and 587.13 is: 810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.88 : 1,452.97 = 587.13 : x
  2. Step 2: Convert to fraction form
    1,052.88/1,452.97 = 587.13/x
  3. Step 3: Cross multiply
    1,052.88x = 1,452.97 × 587.13
  4. Step 4: Simplify right side
    1,052.88x = 853,082.28
  5. Step 5: Solve for x
    x = 853,082.28/1,052.88
  6. Step 6: Final answer
    x = 810.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.