Home / 1,524.29-2,103.32-963.77

Finding the Fourth Proportional to 1,524.29, 2,103.32 and 963.77

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Solution

The fourth proportional to 1,524.29, 2,103.32 and 963.77 is: 1,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.29 : 2,103.32 = 963.77 : x
  2. Step 2: Convert to fraction form
    1,524.29/2,103.32 = 963.77/x
  3. Step 3: Cross multiply
    1,524.29x = 2,103.32 × 963.77
  4. Step 4: Simplify right side
    1,524.29x = 2,027,124.38
  5. Step 5: Solve for x
    x = 2,027,124.38/1,524.29
  6. Step 6: Final answer
    x = 1,329.88

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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.