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Finding the Fourth Proportional to 655.10, 903.84 and 489.86

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Solution

The fourth proportional to 655.10, 903.84 and 489.86 is: 675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.10 : 903.84 = 489.86 : x
  2. Step 2: Convert to fraction form
    655.10/903.84 = 489.86/x
  3. Step 3: Cross multiply
    655.10x = 903.84 × 489.86
  4. Step 4: Simplify right side
    655.10x = 442,755.06
  5. Step 5: Solve for x
    x = 442,755.06/655.10
  6. Step 6: Final answer
    x = 675.86

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