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Finding the Fourth Proportional to 901.75, 1,352.67 and 854.41

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Solution

The fourth proportional to 901.75, 1,352.67 and 854.41 is: 1,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.75 : 1,352.67 = 854.41 : x
  2. Step 2: Convert to fraction form
    901.75/1,352.67 = 854.41/x
  3. Step 3: Cross multiply
    901.75x = 1,352.67 × 854.41
  4. Step 4: Simplify right side
    901.75x = 1,155,734.77
  5. Step 5: Solve for x
    x = 1,155,734.77/901.75
  6. Step 6: Final answer
    x = 1,281.66

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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.