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Finding the Fourth Proportional to 1,445.31, 2,167.09 and 566.76

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Solution

The fourth proportional to 1,445.31, 2,167.09 and 566.76 is: 849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.31 : 2,167.09 = 566.76 : x
  2. Step 2: Convert to fraction form
    1,445.31/2,167.09 = 566.76/x
  3. Step 3: Cross multiply
    1,445.31x = 2,167.09 × 566.76
  4. Step 4: Simplify right side
    1,445.31x = 1,228,224.70
  5. Step 5: Solve for x
    x = 1,228,224.70/1,445.31
  6. Step 6: Final answer
    x = 849.80

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