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Finding the Fourth Proportional to 1,034.96, 1,428.13 and 586.85

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Solution

The fourth proportional to 1,034.96, 1,428.13 and 586.85 is: 809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.96 : 1,428.13 = 586.85 : x
  2. Step 2: Convert to fraction form
    1,034.96/1,428.13 = 586.85/x
  3. Step 3: Cross multiply
    1,034.96x = 1,428.13 × 586.85
  4. Step 4: Simplify right side
    1,034.96x = 838,098.09
  5. Step 5: Solve for x
    x = 838,098.09/1,034.96
  6. Step 6: Final answer
    x = 809.79

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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.