Home / 1,177.24-1,766.10-830.70

Finding the Fourth Proportional to 1,177.24, 1,766.10 and 830.70

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Solution

The fourth proportional to 1,177.24, 1,766.10 and 830.70 is: 1,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.24 : 1,766.10 = 830.70 : x
  2. Step 2: Convert to fraction form
    1,177.24/1,766.10 = 830.70/x
  3. Step 3: Cross multiply
    1,177.24x = 1,766.10 × 830.70
  4. Step 4: Simplify right side
    1,177.24x = 1,467,099.27
  5. Step 5: Solve for x
    x = 1,467,099.27/1,177.24
  6. Step 6: Final answer
    x = 1,246.22

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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.