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Finding the Fourth Proportional to 882.90, 1,216.08 and 878.04

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Solution

The fourth proportional to 882.90, 1,216.08 and 878.04 is: 1,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.90 : 1,216.08 = 878.04 : x
  2. Step 2: Convert to fraction form
    882.90/1,216.08 = 878.04/x
  3. Step 3: Cross multiply
    882.90x = 1,216.08 × 878.04
  4. Step 4: Simplify right side
    882.90x = 1,067,766.88
  5. Step 5: Solve for x
    x = 1,067,766.88/882.90
  6. Step 6: Final answer
    x = 1,209.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.