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Finding the Fourth Proportional to 1,062.57, 1,593.90 and 568.77

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Solution

The fourth proportional to 1,062.57, 1,593.90 and 568.77 is: 853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.57 : 1,593.90 = 568.77 : x
  2. Step 2: Convert to fraction form
    1,062.57/1,593.90 = 568.77/x
  3. Step 3: Cross multiply
    1,062.57x = 1,593.90 × 568.77
  4. Step 4: Simplify right side
    1,062.57x = 906,562.50
  5. Step 5: Solve for x
    x = 906,562.50/1,062.57
  6. Step 6: Final answer
    x = 853.18

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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.