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Finding the Fourth Proportional to 1,254.42, 1,731.06 and 806.70

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Solution

The fourth proportional to 1,254.42, 1,731.06 and 806.70 is: 1,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.42 : 1,731.06 = 806.70 : x
  2. Step 2: Convert to fraction form
    1,254.42/1,731.06 = 806.70/x
  3. Step 3: Cross multiply
    1,254.42x = 1,731.06 × 806.70
  4. Step 4: Simplify right side
    1,254.42x = 1,396,446.10
  5. Step 5: Solve for x
    x = 1,396,446.10/1,254.42
  6. Step 6: Final answer
    x = 1,113.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.