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Finding the Fourth Proportional to 695.70, 1,041.62 and 387.09

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Solution

The fourth proportional to 695.70, 1,041.62 and 387.09 is: 579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.70 : 1,041.62 = 387.09 : x
  2. Step 2: Convert to fraction form
    695.70/1,041.62 = 387.09/x
  3. Step 3: Cross multiply
    695.70x = 1,041.62 × 387.09
  4. Step 4: Simplify right side
    695.70x = 403,198.75
  5. Step 5: Solve for x
    x = 403,198.75/695.70
  6. Step 6: Final answer
    x = 579.56

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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.