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Finding the Fourth Proportional to 886.29, 1,223.19 and 493.35

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Solution

The fourth proportional to 886.29, 1,223.19 and 493.35 is: 680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.29 : 1,223.19 = 493.35 : x
  2. Step 2: Convert to fraction form
    886.29/1,223.19 = 493.35/x
  3. Step 3: Cross multiply
    886.29x = 1,223.19 × 493.35
  4. Step 4: Simplify right side
    886.29x = 603,460.79
  5. Step 5: Solve for x
    x = 603,460.79/886.29
  6. Step 6: Final answer
    x = 680.88

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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.