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Finding the Fourth Proportional to 877.38, 1,314.78 and 851.04

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Solution

The fourth proportional to 877.38, 1,314.78 and 851.04 is: 1,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.38 : 1,314.78 = 851.04 : x
  2. Step 2: Convert to fraction form
    877.38/1,314.78 = 851.04/x
  3. Step 3: Cross multiply
    877.38x = 1,314.78 × 851.04
  4. Step 4: Simplify right side
    877.38x = 1,118,930.37
  5. Step 5: Solve for x
    x = 1,118,930.37/877.38
  6. Step 6: Final answer
    x = 1,275.31

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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.