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Finding the Fourth Proportional to 695.52, 1,042.20 and 465.48

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Solution

The fourth proportional to 695.52, 1,042.20 and 465.48 is: 697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.52 : 1,042.20 = 465.48 : x
  2. Step 2: Convert to fraction form
    695.52/1,042.20 = 465.48/x
  3. Step 3: Cross multiply
    695.52x = 1,042.20 × 465.48
  4. Step 4: Simplify right side
    695.52x = 485,123.26
  5. Step 5: Solve for x
    x = 485,123.26/695.52
  6. Step 6: Final answer
    x = 697.50

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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.