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Finding the Fourth Proportional to 886.08, 1,327.28 and 519.74

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Solution

The fourth proportional to 886.08, 1,327.28 and 519.74 is: 778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.08 : 1,327.28 = 519.74 : x
  2. Step 2: Convert to fraction form
    886.08/1,327.28 = 519.74/x
  3. Step 3: Cross multiply
    886.08x = 1,327.28 × 519.74
  4. Step 4: Simplify right side
    886.08x = 689,840.51
  5. Step 5: Solve for x
    x = 689,840.51/886.08
  6. Step 6: Final answer
    x = 778.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.