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Finding the Fourth Proportional to 695.88, 1,043.10 and 311.40

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Solution

The fourth proportional to 695.88, 1,043.10 and 311.40 is: 466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.88 : 1,043.10 = 311.40 : x
  2. Step 2: Convert to fraction form
    695.88/1,043.10 = 311.40/x
  3. Step 3: Cross multiply
    695.88x = 1,043.10 × 311.40
  4. Step 4: Simplify right side
    695.88x = 324,821.34
  5. Step 5: Solve for x
    x = 324,821.34/695.88
  6. Step 6: Final answer
    x = 466.78

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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.