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Finding the Fourth Proportional to 886.68, 1,223.68 and 493.82

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Solution

The fourth proportional to 886.68, 1,223.68 and 493.82 is: 681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.68 : 1,223.68 = 493.82 : x
  2. Step 2: Convert to fraction form
    886.68/1,223.68 = 493.82/x
  3. Step 3: Cross multiply
    886.68x = 1,223.68 × 493.82
  4. Step 4: Simplify right side
    886.68x = 604,277.66
  5. Step 5: Solve for x
    x = 604,277.66/886.68
  6. Step 6: Final answer
    x = 681.51

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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.