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Finding the Fourth Proportional to 1,052.74, 1,579.82 and 566.13

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Solution

The fourth proportional to 1,052.74, 1,579.82 and 566.13 is: 849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.74 : 1,579.82 = 566.13 : x
  2. Step 2: Convert to fraction form
    1,052.74/1,579.82 = 566.13/x
  3. Step 3: Cross multiply
    1,052.74x = 1,579.82 × 566.13
  4. Step 4: Simplify right side
    1,052.74x = 894,380.67
  5. Step 5: Solve for x
    x = 894,380.67/1,052.74
  6. Step 6: Final answer
    x = 849.58

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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.