Home / 1,209.18-1,812.60-770.97

Finding the Fourth Proportional to 1,209.18, 1,812.60 and 770.97

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Solution

The fourth proportional to 1,209.18, 1,812.60 and 770.97 is: 1,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.18 : 1,812.60 = 770.97 : x
  2. Step 2: Convert to fraction form
    1,209.18/1,812.60 = 770.97/x
  3. Step 3: Cross multiply
    1,209.18x = 1,812.60 × 770.97
  4. Step 4: Simplify right side
    1,209.18x = 1,397,460.22
  5. Step 5: Solve for x
    x = 1,397,460.22/1,209.18
  6. Step 6: Final answer
    x = 1,155.71

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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.