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Finding the Fourth Proportional to 1,578.75, 2,178.77 and 880.17

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Solution

The fourth proportional to 1,578.75, 2,178.77 and 880.17 is: 1,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.75 : 2,178.77 = 880.17 : x
  2. Step 2: Convert to fraction form
    1,578.75/2,178.77 = 880.17/x
  3. Step 3: Cross multiply
    1,578.75x = 2,178.77 × 880.17
  4. Step 4: Simplify right side
    1,578.75x = 1,917,683.59
  5. Step 5: Solve for x
    x = 1,917,683.59/1,578.75
  6. Step 6: Final answer
    x = 1,214.68

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Half scale
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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.