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Finding the Fourth Proportional to 1,290.60, 1,780.92 and 766.56

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Solution

The fourth proportional to 1,290.60, 1,780.92 and 766.56 is: 1,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.60 : 1,780.92 = 766.56 : x
  2. Step 2: Convert to fraction form
    1,290.60/1,780.92 = 766.56/x
  3. Step 3: Cross multiply
    1,290.60x = 1,780.92 × 766.56
  4. Step 4: Simplify right side
    1,290.60x = 1,365,182.04
  5. Step 5: Solve for x
    x = 1,365,182.04/1,290.60
  6. Step 6: Final answer
    x = 1,057.79

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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.