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Finding the Fourth Proportional to 844.38, 1,267.22 and 586.19

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Solution

The fourth proportional to 844.38, 1,267.22 and 586.19 is: 879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.38 : 1,267.22 = 586.19 : x
  2. Step 2: Convert to fraction form
    844.38/1,267.22 = 586.19/x
  3. Step 3: Cross multiply
    844.38x = 1,267.22 × 586.19
  4. Step 4: Simplify right side
    844.38x = 742,831.69
  5. Step 5: Solve for x
    x = 742,831.69/844.38
  6. Step 6: Final answer
    x = 879.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.