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Finding the Fourth Proportional to 880.02, 1,320.84 and 827.10

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Solution

The fourth proportional to 880.02, 1,320.84 and 827.10 is: 1,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.02 : 1,320.84 = 827.10 : x
  2. Step 2: Convert to fraction form
    880.02/1,320.84 = 827.10/x
  3. Step 3: Cross multiply
    880.02x = 1,320.84 × 827.10
  4. Step 4: Simplify right side
    880.02x = 1,092,466.76
  5. Step 5: Solve for x
    x = 1,092,466.76/880.02
  6. Step 6: Final answer
    x = 1,241.41

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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.