Home / 1,177.30-1,766.49-1,157.86

Finding the Fourth Proportional to 1,177.30, 1,766.49 and 1,157.86

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Solution

The fourth proportional to 1,177.30, 1,766.49 and 1,157.86 is: 1,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.30 : 1,766.49 = 1,157.86 : x
  2. Step 2: Convert to fraction form
    1,177.30/1,766.49 = 1,157.86/x
  3. Step 3: Cross multiply
    1,177.30x = 1,766.49 × 1,157.86
  4. Step 4: Simplify right side
    1,177.30x = 2,045,348.11
  5. Step 5: Solve for x
    x = 2,045,348.11/1,177.30
  6. Step 6: Final answer
    x = 1,737.32

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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.