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Finding the Fourth Proportional to 1,293.77, 1,785.31 and 769.70

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Solution

The fourth proportional to 1,293.77, 1,785.31 and 769.70 is: 1,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.77 : 1,785.31 = 769.70 : x
  2. Step 2: Convert to fraction form
    1,293.77/1,785.31 = 769.70/x
  3. Step 3: Cross multiply
    1,293.77x = 1,785.31 × 769.70
  4. Step 4: Simplify right side
    1,293.77x = 1,374,144.18
  5. Step 5: Solve for x
    x = 1,374,144.18/1,293.77
  6. Step 6: Final answer
    x = 1,062.13

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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.