Home / 1,464.38-2,196.16-733.76

Finding the Fourth Proportional to 1,464.38, 2,196.16 and 733.76

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Solution

The fourth proportional to 1,464.38, 2,196.16 and 733.76 is: 1,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.38 : 2,196.16 = 733.76 : x
  2. Step 2: Convert to fraction form
    1,464.38/2,196.16 = 733.76/x
  3. Step 3: Cross multiply
    1,464.38x = 2,196.16 × 733.76
  4. Step 4: Simplify right side
    1,464.38x = 1,611,453.91
  5. Step 5: Solve for x
    x = 1,611,453.91/1,464.38
  6. Step 6: Final answer
    x = 1,100.44

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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.