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Finding the Fourth Proportional to 695.88, 961.06 and 472.82

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Solution

The fourth proportional to 695.88, 961.06 and 472.82 is: 652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.88 : 961.06 = 472.82 : x
  2. Step 2: Convert to fraction form
    695.88/961.06 = 472.82/x
  3. Step 3: Cross multiply
    695.88x = 961.06 × 472.82
  4. Step 4: Simplify right side
    695.88x = 454,404.62
  5. Step 5: Solve for x
    x = 454,404.62/695.88
  6. Step 6: Final answer
    x = 652.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.