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Finding the Fourth Proportional to 699.18, 964.52 and 489.27

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Solution

The fourth proportional to 699.18, 964.52 and 489.27 is: 674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.18 : 964.52 = 489.27 : x
  2. Step 2: Convert to fraction form
    699.18/964.52 = 489.27/x
  3. Step 3: Cross multiply
    699.18x = 964.52 × 489.27
  4. Step 4: Simplify right side
    699.18x = 471,913.71
  5. Step 5: Solve for x
    x = 471,913.71/699.18
  6. Step 6: Final answer
    x = 674.96

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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.