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Finding the Fourth Proportional to 834.71, 1,151.59 and 540.14

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Solution

The fourth proportional to 834.71, 1,151.59 and 540.14 is: 745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.71 : 1,151.59 = 540.14 : x
  2. Step 2: Convert to fraction form
    834.71/1,151.59 = 540.14/x
  3. Step 3: Cross multiply
    834.71x = 1,151.59 × 540.14
  4. Step 4: Simplify right side
    834.71x = 622,024.96
  5. Step 5: Solve for x
    x = 622,024.96/834.71
  6. Step 6: Final answer
    x = 745.20

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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.