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Finding the Fourth Proportional to 886.92, 1,223.95 and 493.94

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Solution

The fourth proportional to 886.92, 1,223.95 and 493.94 is: 681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.92 : 1,223.95 = 493.94 : x
  2. Step 2: Convert to fraction form
    886.92/1,223.95 = 493.94/x
  3. Step 3: Cross multiply
    886.92x = 1,223.95 × 493.94
  4. Step 4: Simplify right side
    886.92x = 604,551.74
  5. Step 5: Solve for x
    x = 604,551.74/886.92
  6. Step 6: Final answer
    x = 681.63

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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.