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Finding the Fourth Proportional to 1,422.16, 2,132.88 and 447.76

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Solution

The fourth proportional to 1,422.16, 2,132.88 and 447.76 is: 671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.16 : 2,132.88 = 447.76 : x
  2. Step 2: Convert to fraction form
    1,422.16/2,132.88 = 447.76/x
  3. Step 3: Cross multiply
    1,422.16x = 2,132.88 × 447.76
  4. Step 4: Simplify right side
    1,422.16x = 955,018.35
  5. Step 5: Solve for x
    x = 955,018.35/1,422.16
  6. Step 6: Final answer
    x = 671.53

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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.