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Finding the Fourth Proportional to 886.60, 1,223.50 and 493.61

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Solution

The fourth proportional to 886.60, 1,223.50 and 493.61 is: 681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.60 : 1,223.50 = 493.61 : x
  2. Step 2: Convert to fraction form
    886.60/1,223.50 = 493.61/x
  3. Step 3: Cross multiply
    886.60x = 1,223.50 × 493.61
  4. Step 4: Simplify right side
    886.60x = 603,933.66
  5. Step 5: Solve for x
    x = 603,933.66/886.60
  6. Step 6: Final answer
    x = 681.18

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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.