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Finding the Fourth Proportional to 1,578.64, 2,178.60 and 880

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Solution

The fourth proportional to 1,578.64, 2,178.60 and 880 is: 1,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.64 : 2,178.60 = 880 : x
  2. Step 2: Convert to fraction form
    1,578.64/2,178.60 = 880/x
  3. Step 3: Cross multiply
    1,578.64x = 2,178.60 × 880
  4. Step 4: Simplify right side
    1,578.64x = 1,917,168
  5. Step 5: Solve for x
    x = 1,917,168/1,578.64
  6. Step 6: Final answer
    x = 1,214.44

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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.