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Finding the Fourth Proportional to 1,278.50, 1,917.84 and 400.97

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Solution

The fourth proportional to 1,278.50, 1,917.84 and 400.97 is: 601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.50 : 1,917.84 = 400.97 : x
  2. Step 2: Convert to fraction form
    1,278.50/1,917.84 = 400.97/x
  3. Step 3: Cross multiply
    1,278.50x = 1,917.84 × 400.97
  4. Step 4: Simplify right side
    1,278.50x = 768,986.72
  5. Step 5: Solve for x
    x = 768,986.72/1,278.50
  6. Step 6: Final answer
    x = 601.48

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1.5x scale

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.