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Finding the Fourth Proportional to 701.67, 1,053.18 and 428.28

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Solution

The fourth proportional to 701.67, 1,053.18 and 428.28 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.67 : 1,053.18 = 428.28 : x
  2. Step 2: Convert to fraction form
    701.67/1,053.18 = 428.28/x
  3. Step 3: Cross multiply
    701.67x = 1,053.18 × 428.28
  4. Step 4: Simplify right side
    701.67x = 451,055.93
  5. Step 5: Solve for x
    x = 451,055.93/701.67
  6. Step 6: Final answer
    x = 642.83

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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.