Home / 800.24-1,199.40-366.80

Finding the Fourth Proportional to 800.24, 1,199.40 and 366.80

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Solution

The fourth proportional to 800.24, 1,199.40 and 366.80 is: 549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.24 : 1,199.40 = 366.80 : x
  2. Step 2: Convert to fraction form
    800.24/1,199.40 = 366.80/x
  3. Step 3: Cross multiply
    800.24x = 1,199.40 × 366.80
  4. Step 4: Simplify right side
    800.24x = 439,939.92
  5. Step 5: Solve for x
    x = 439,939.92/800.24
  6. Step 6: Final answer
    x = 549.76

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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.