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Finding the Fourth Proportional to 706.02, 1,057.48 and 397.70

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Solution

The fourth proportional to 706.02, 1,057.48 and 397.70 is: 595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.02 : 1,057.48 = 397.70 : x
  2. Step 2: Convert to fraction form
    706.02/1,057.48 = 397.70/x
  3. Step 3: Cross multiply
    706.02x = 1,057.48 × 397.70
  4. Step 4: Simplify right side
    706.02x = 420,559.80
  5. Step 5: Solve for x
    x = 420,559.80/706.02
  6. Step 6: Final answer
    x = 595.68

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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.