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Finding the Fourth Proportional to 1,034.31, 1,551.47 and 851.16

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Solution

The fourth proportional to 1,034.31, 1,551.47 and 851.16 is: 1,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.31 : 1,551.47 = 851.16 : x
  2. Step 2: Convert to fraction form
    1,034.31/1,551.47 = 851.16/x
  3. Step 3: Cross multiply
    1,034.31x = 1,551.47 × 851.16
  4. Step 4: Simplify right side
    1,034.31x = 1,320,544.95
  5. Step 5: Solve for x
    x = 1,320,544.95/1,034.31
  6. Step 6: Final answer
    x = 1,276.74

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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.