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Finding the Fourth Proportional to 695.32, 1,043.61 and 370.96

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Solution

The fourth proportional to 695.32, 1,043.61 and 370.96 is: 556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.32 : 1,043.61 = 370.96 : x
  2. Step 2: Convert to fraction form
    695.32/1,043.61 = 370.96/x
  3. Step 3: Cross multiply
    695.32x = 1,043.61 × 370.96
  4. Step 4: Simplify right side
    695.32x = 387,137.57
  5. Step 5: Solve for x
    x = 387,137.57/695.32
  6. Step 6: Final answer
    x = 556.78

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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.