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Finding the Fourth Proportional to 886.96, 1,223.86 and 493.90

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Solution

The fourth proportional to 886.96, 1,223.86 and 493.90 is: 681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.96 : 1,223.86 = 493.90 : x
  2. Step 2: Convert to fraction form
    886.96/1,223.86 = 493.90/x
  3. Step 3: Cross multiply
    886.96x = 1,223.86 × 493.90
  4. Step 4: Simplify right side
    886.96x = 604,464.45
  5. Step 5: Solve for x
    x = 604,464.45/886.96
  6. Step 6: Final answer
    x = 681.50

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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.