Home / 1,473.20-2,209.44-499.04

Finding the Fourth Proportional to 1,473.20, 2,209.44 and 499.04

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Solution

The fourth proportional to 1,473.20, 2,209.44 and 499.04 is: 748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.20 : 2,209.44 = 499.04 : x
  2. Step 2: Convert to fraction form
    1,473.20/2,209.44 = 499.04/x
  3. Step 3: Cross multiply
    1,473.20x = 2,209.44 × 499.04
  4. Step 4: Simplify right side
    1,473.20x = 1,102,598.94
  5. Step 5: Solve for x
    x = 1,102,598.94/1,473.20
  6. Step 6: Final answer
    x = 748.44

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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.