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Finding the Fourth Proportional to 871.92, 1,308.06 and 294.84

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Solution

The fourth proportional to 871.92, 1,308.06 and 294.84 is: 442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.92 : 1,308.06 = 294.84 : x
  2. Step 2: Convert to fraction form
    871.92/1,308.06 = 294.84/x
  3. Step 3: Cross multiply
    871.92x = 1,308.06 × 294.84
  4. Step 4: Simplify right side
    871.92x = 385,668.41
  5. Step 5: Solve for x
    x = 385,668.41/871.92
  6. Step 6: Final answer
    x = 442.32

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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.