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Finding the Fourth Proportional to 1,221.18, 1,831.92 and 399.23

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Solution

The fourth proportional to 1,221.18, 1,831.92 and 399.23 is: 598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.18 : 1,831.92 = 399.23 : x
  2. Step 2: Convert to fraction form
    1,221.18/1,831.92 = 399.23/x
  3. Step 3: Cross multiply
    1,221.18x = 1,831.92 × 399.23
  4. Step 4: Simplify right side
    1,221.18x = 731,363.50
  5. Step 5: Solve for x
    x = 731,363.50/1,221.18
  6. Step 6: Final answer
    x = 598.90

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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.