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Finding the Fourth Proportional to 886.52, 1,223.48 and 493.62

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Solution

The fourth proportional to 886.52, 1,223.48 and 493.62 is: 681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.52 : 1,223.48 = 493.62 : x
  2. Step 2: Convert to fraction form
    886.52/1,223.48 = 493.62/x
  3. Step 3: Cross multiply
    886.52x = 1,223.48 × 493.62
  4. Step 4: Simplify right side
    886.52x = 603,934.20
  5. Step 5: Solve for x
    x = 603,934.20/886.52
  6. Step 6: Final answer
    x = 681.24

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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.