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Finding the Fourth Proportional to 886.52, 1,223.40 and 493.56

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Solution

The fourth proportional to 886.52, 1,223.40 and 493.56 is: 681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.52 : 1,223.40 = 493.56 : x
  2. Step 2: Convert to fraction form
    886.52/1,223.40 = 493.56/x
  3. Step 3: Cross multiply
    886.52x = 1,223.40 × 493.56
  4. Step 4: Simplify right side
    886.52x = 603,821.30
  5. Step 5: Solve for x
    x = 603,821.30/886.52
  6. Step 6: Final answer
    x = 681.12

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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.