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Finding the Fourth Proportional to 701.66, 1,052.22 and 412.76

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Solution

The fourth proportional to 701.66, 1,052.22 and 412.76 is: 618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.66 : 1,052.22 = 412.76 : x
  2. Step 2: Convert to fraction form
    701.66/1,052.22 = 412.76/x
  3. Step 3: Cross multiply
    701.66x = 1,052.22 × 412.76
  4. Step 4: Simplify right side
    701.66x = 434,314.33
  5. Step 5: Solve for x
    x = 434,314.33/701.66
  6. Step 6: Final answer
    x = 618.98

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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.