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Finding the Fourth Proportional to 886.23, 1,223.03 and 493.28

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Solution

The fourth proportional to 886.23, 1,223.03 and 493.28 is: 680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.23 : 1,223.03 = 493.28 : x
  2. Step 2: Convert to fraction form
    886.23/1,223.03 = 493.28/x
  3. Step 3: Cross multiply
    886.23x = 1,223.03 × 493.28
  4. Step 4: Simplify right side
    886.23x = 603,296.24
  5. Step 5: Solve for x
    x = 603,296.24/886.23
  6. Step 6: Final answer
    x = 680.74

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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.