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Finding the Fourth Proportional to 886.74, 1,223.52 and 493.68

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Solution

The fourth proportional to 886.74, 1,223.52 and 493.68 is: 681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.74 : 1,223.52 = 493.68 : x
  2. Step 2: Convert to fraction form
    886.74/1,223.52 = 493.68/x
  3. Step 3: Cross multiply
    886.74x = 1,223.52 × 493.68
  4. Step 4: Simplify right side
    886.74x = 604,027.35
  5. Step 5: Solve for x
    x = 604,027.35/886.74
  6. Step 6: Final answer
    x = 681.18

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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.