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Finding the Fourth Proportional to 1,279.69, 1,919.51 and 355.24

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Solution

The fourth proportional to 1,279.69, 1,919.51 and 355.24 is: 532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.69 : 1,919.51 = 355.24 : x
  2. Step 2: Convert to fraction form
    1,279.69/1,919.51 = 355.24/x
  3. Step 3: Cross multiply
    1,279.69x = 1,919.51 × 355.24
  4. Step 4: Simplify right side
    1,279.69x = 681,886.73
  5. Step 5: Solve for x
    x = 681,886.73/1,279.69
  6. Step 6: Final answer
    x = 532.85

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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.