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Finding the Fourth Proportional to 697.24, 961.98 and 489.88

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Solution

The fourth proportional to 697.24, 961.98 and 489.88 is: 675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.24 : 961.98 = 489.88 : x
  2. Step 2: Convert to fraction form
    697.24/961.98 = 489.88/x
  3. Step 3: Cross multiply
    697.24x = 961.98 × 489.88
  4. Step 4: Simplify right side
    697.24x = 471,254.76
  5. Step 5: Solve for x
    x = 471,254.76/697.24
  6. Step 6: Final answer
    x = 675.89

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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.