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Finding the Fourth Proportional to 701.24, 1,053.24 and 427.88

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Solution

The fourth proportional to 701.24, 1,053.24 and 427.88 is: 642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.24 : 1,053.24 = 427.88 : x
  2. Step 2: Convert to fraction form
    701.24/1,053.24 = 427.88/x
  3. Step 3: Cross multiply
    701.24x = 1,053.24 × 427.88
  4. Step 4: Simplify right side
    701.24x = 450,660.33
  5. Step 5: Solve for x
    x = 450,660.33/701.24
  6. Step 6: Final answer
    x = 642.66

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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.