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Finding the Fourth Proportional to 654.92, 903.93 and 489.61

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Solution

The fourth proportional to 654.92, 903.93 and 489.61 is: 675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.92 : 903.93 = 489.61 : x
  2. Step 2: Convert to fraction form
    654.92/903.93 = 489.61/x
  3. Step 3: Cross multiply
    654.92x = 903.93 × 489.61
  4. Step 4: Simplify right side
    654.92x = 442,572.46
  5. Step 5: Solve for x
    x = 442,572.46/654.92
  6. Step 6: Final answer
    x = 675.77

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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.