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Finding the Fourth Proportional to 831.74, 1,147.59 and 610.29

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Solution

The fourth proportional to 831.74, 1,147.59 and 610.29 is: 842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.74 : 1,147.59 = 610.29 : x
  2. Step 2: Convert to fraction form
    831.74/1,147.59 = 610.29/x
  3. Step 3: Cross multiply
    831.74x = 1,147.59 × 610.29
  4. Step 4: Simplify right side
    831.74x = 700,362.70
  5. Step 5: Solve for x
    x = 700,362.70/831.74
  6. Step 6: Final answer
    x = 842.05

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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.