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Finding the Fourth Proportional to 886.50, 1,223.37 and 493.61

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Solution

The fourth proportional to 886.50, 1,223.37 and 493.61 is: 681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.50 : 1,223.37 = 493.61 : x
  2. Step 2: Convert to fraction form
    886.50/1,223.37 = 493.61/x
  3. Step 3: Cross multiply
    886.50x = 1,223.37 × 493.61
  4. Step 4: Simplify right side
    886.50x = 603,861.55
  5. Step 5: Solve for x
    x = 603,861.55/886.50
  6. Step 6: Final answer
    x = 681.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.