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Finding the Fourth Proportional to 886.14, 1,327.86 and 474.84

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Solution

The fourth proportional to 886.14, 1,327.86 and 474.84 is: 711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.14 : 1,327.86 = 474.84 : x
  2. Step 2: Convert to fraction form
    886.14/1,327.86 = 474.84/x
  3. Step 3: Cross multiply
    886.14x = 1,327.86 × 474.84
  4. Step 4: Simplify right side
    886.14x = 630,521.04
  5. Step 5: Solve for x
    x = 630,521.04/886.14
  6. Step 6: Final answer
    x = 711.54

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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.