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Finding the Fourth Proportional to 837.19, 1,254.16 and 447.06

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Solution

The fourth proportional to 837.19, 1,254.16 and 447.06 is: 669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.19 : 1,254.16 = 447.06 : x
  2. Step 2: Convert to fraction form
    837.19/1,254.16 = 447.06/x
  3. Step 3: Cross multiply
    837.19x = 1,254.16 × 447.06
  4. Step 4: Simplify right side
    837.19x = 560,685.25
  5. Step 5: Solve for x
    x = 560,685.25/837.19
  6. Step 6: Final answer
    x = 669.72

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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.