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Finding the Fourth Proportional to 1,431.75, 2,148.17 and 566.40

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Solution

The fourth proportional to 1,431.75, 2,148.17 and 566.40 is: 849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.75 : 2,148.17 = 566.40 : x
  2. Step 2: Convert to fraction form
    1,431.75/2,148.17 = 566.40/x
  3. Step 3: Cross multiply
    1,431.75x = 2,148.17 × 566.40
  4. Step 4: Simplify right side
    1,431.75x = 1,216,720.66
  5. Step 5: Solve for x
    x = 1,216,720.66/1,431.75
  6. Step 6: Final answer
    x = 849.81

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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.