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Finding the Fourth Proportional to 880.85, 1,320.06 and 854.57

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Solution

The fourth proportional to 880.85, 1,320.06 and 854.57 is: 1,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.85 : 1,320.06 = 854.57 : x
  2. Step 2: Convert to fraction form
    880.85/1,320.06 = 854.57/x
  3. Step 3: Cross multiply
    880.85x = 1,320.06 × 854.57
  4. Step 4: Simplify right side
    880.85x = 1,128,083.67
  5. Step 5: Solve for x
    x = 1,128,083.67/880.85
  6. Step 6: Final answer
    x = 1,280.68

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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.