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Finding the Fourth Proportional to 1,064.82, 1,470.76 and 769.62

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Solution

The fourth proportional to 1,064.82, 1,470.76 and 769.62 is: 1,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.82 : 1,470.76 = 769.62 : x
  2. Step 2: Convert to fraction form
    1,064.82/1,470.76 = 769.62/x
  3. Step 3: Cross multiply
    1,064.82x = 1,470.76 × 769.62
  4. Step 4: Simplify right side
    1,064.82x = 1,131,926.31
  5. Step 5: Solve for x
    x = 1,131,926.31/1,064.82
  6. Step 6: Final answer
    x = 1,063.02

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