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Finding the Fourth Proportional to 1,034.16, 1,426.68 and 769.20

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Solution

The fourth proportional to 1,034.16, 1,426.68 and 769.20 is: 1,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.16 : 1,426.68 = 769.20 : x
  2. Step 2: Convert to fraction form
    1,034.16/1,426.68 = 769.20/x
  3. Step 3: Cross multiply
    1,034.16x = 1,426.68 × 769.20
  4. Step 4: Simplify right side
    1,034.16x = 1,097,402.26
  5. Step 5: Solve for x
    x = 1,097,402.26/1,034.16
  6. Step 6: Final answer
    x = 1,061.15

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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.