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Finding the Fourth Proportional to 705.06, 1,057.77 and 397.13

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Solution

The fourth proportional to 705.06, 1,057.77 and 397.13 is: 595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.06 : 1,057.77 = 397.13 : x
  2. Step 2: Convert to fraction form
    705.06/1,057.77 = 397.13/x
  3. Step 3: Cross multiply
    705.06x = 1,057.77 × 397.13
  4. Step 4: Simplify right side
    705.06x = 420,066.91
  5. Step 5: Solve for x
    x = 420,066.91/705.06
  6. Step 6: Final answer
    x = 595.79

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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.