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Finding the Fourth Proportional to 1,077.22, 1,615.84 and 428.12

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Solution

The fourth proportional to 1,077.22, 1,615.84 and 428.12 is: 642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.22 : 1,615.84 = 428.12 : x
  2. Step 2: Convert to fraction form
    1,077.22/1,615.84 = 428.12/x
  3. Step 3: Cross multiply
    1,077.22x = 1,615.84 × 428.12
  4. Step 4: Simplify right side
    1,077.22x = 691,773.42
  5. Step 5: Solve for x
    x = 691,773.42/1,077.22
  6. Step 6: Final answer
    x = 642.18

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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.