Home / 1,633.24-2,451.23-709.49

Finding the Fourth Proportional to 1,633.24, 2,451.23 and 709.49

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Solution

The fourth proportional to 1,633.24, 2,451.23 and 709.49 is: 1,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.24 : 2,451.23 = 709.49 : x
  2. Step 2: Convert to fraction form
    1,633.24/2,451.23 = 709.49/x
  3. Step 3: Cross multiply
    1,633.24x = 2,451.23 × 709.49
  4. Step 4: Simplify right side
    1,633.24x = 1,739,123.17
  5. Step 5: Solve for x
    x = 1,739,123.17/1,633.24
  6. Step 6: Final answer
    x = 1,064.83

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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.