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Finding the Fourth Proportional to 1,221.31, 1,831.97 and 946.59

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Solution

The fourth proportional to 1,221.31, 1,831.97 and 946.59 is: 1,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.31 : 1,831.97 = 946.59 : x
  2. Step 2: Convert to fraction form
    1,221.31/1,831.97 = 946.59/x
  3. Step 3: Cross multiply
    1,221.31x = 1,831.97 × 946.59
  4. Step 4: Simplify right side
    1,221.31x = 1,734,124.48
  5. Step 5: Solve for x
    x = 1,734,124.48/1,221.31
  6. Step 6: Final answer
    x = 1,419.89

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Similar ratio
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1.5x scale

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.