Home / 1,207.32-1,811.22-513.98

Finding the Fourth Proportional to 1,207.32, 1,811.22 and 513.98

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Solution

The fourth proportional to 1,207.32, 1,811.22 and 513.98 is: 771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.32 : 1,811.22 = 513.98 : x
  2. Step 2: Convert to fraction form
    1,207.32/1,811.22 = 513.98/x
  3. Step 3: Cross multiply
    1,207.32x = 1,811.22 × 513.98
  4. Step 4: Simplify right side
    1,207.32x = 930,930.86
  5. Step 5: Solve for x
    x = 930,930.86/1,207.32
  6. Step 6: Final answer
    x = 771.07

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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.