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Finding the Fourth Proportional to 1,115.17, 1,672.04 and 566.60

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Solution

The fourth proportional to 1,115.17, 1,672.04 and 566.60 is: 849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.17 : 1,672.04 = 566.60 : x
  2. Step 2: Convert to fraction form
    1,115.17/1,672.04 = 566.60/x
  3. Step 3: Cross multiply
    1,115.17x = 1,672.04 × 566.60
  4. Step 4: Simplify right side
    1,115.17x = 947,370.92
  5. Step 5: Solve for x
    x = 947,370.92/1,115.17
  6. Step 6: Final answer
    x = 849.53

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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.