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Finding the Fourth Proportional to 871.85, 1,308.06 and 525.41

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Solution

The fourth proportional to 871.85, 1,308.06 and 525.41 is: 788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.85 : 1,308.06 = 525.41 : x
  2. Step 2: Convert to fraction form
    871.85/1,308.06 = 525.41/x
  3. Step 3: Cross multiply
    871.85x = 1,308.06 × 525.41
  4. Step 4: Simplify right side
    871.85x = 687,267.80
  5. Step 5: Solve for x
    x = 687,267.80/871.85
  6. Step 6: Final answer
    x = 788.29

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