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Finding the Fourth Proportional to 1,034.14, 1,426.94 and 591.95

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Solution

The fourth proportional to 1,034.14, 1,426.94 and 591.95 is: 816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.14 : 1,426.94 = 591.95 : x
  2. Step 2: Convert to fraction form
    1,034.14/1,426.94 = 591.95/x
  3. Step 3: Cross multiply
    1,034.14x = 1,426.94 × 591.95
  4. Step 4: Simplify right side
    1,034.14x = 844,677.13
  5. Step 5: Solve for x
    x = 844,677.13/1,034.14
  6. Step 6: Final answer
    x = 816.79

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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.