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Finding the Fourth Proportional to 704.52, 1,052.10 and 696.89

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Solution

The fourth proportional to 704.52, 1,052.10 and 696.89 is: 1,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.52 : 1,052.10 = 696.89 : x
  2. Step 2: Convert to fraction form
    704.52/1,052.10 = 696.89/x
  3. Step 3: Cross multiply
    704.52x = 1,052.10 × 696.89
  4. Step 4: Simplify right side
    704.52x = 733,200.60
  5. Step 5: Solve for x
    x = 733,200.60/704.52
  6. Step 6: Final answer
    x = 1,040.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.