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Finding the Fourth Proportional to 706.19, 1,057.29 and 397.49

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Solution

The fourth proportional to 706.19, 1,057.29 and 397.49 is: 595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.19 : 1,057.29 = 397.49 : x
  2. Step 2: Convert to fraction form
    706.19/1,057.29 = 397.49/x
  3. Step 3: Cross multiply
    706.19x = 1,057.29 × 397.49
  4. Step 4: Simplify right side
    706.19x = 420,262.20
  5. Step 5: Solve for x
    x = 420,262.20/706.19
  6. Step 6: Final answer
    x = 595.11

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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.