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Finding the Fourth Proportional to 695.70, 1,042.35 and 452.10

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Solution

The fourth proportional to 695.70, 1,042.35 and 452.10 is: 677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.70 : 1,042.35 = 452.10 : x
  2. Step 2: Convert to fraction form
    695.70/1,042.35 = 452.10/x
  3. Step 3: Cross multiply
    695.70x = 1,042.35 × 452.10
  4. Step 4: Simplify right side
    695.70x = 471,246.44
  5. Step 5: Solve for x
    x = 471,246.44/695.70
  6. Step 6: Final answer
    x = 677.37

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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.