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Finding the Fourth Proportional to 701.92, 1,052.43 and 291.34

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Solution

The fourth proportional to 701.92, 1,052.43 and 291.34 is: 436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.92 : 1,052.43 = 291.34 : x
  2. Step 2: Convert to fraction form
    701.92/1,052.43 = 291.34/x
  3. Step 3: Cross multiply
    701.92x = 1,052.43 × 291.34
  4. Step 4: Simplify right side
    701.92x = 306,611.23
  5. Step 5: Solve for x
    x = 306,611.23/701.92
  6. Step 6: Final answer
    x = 436.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.