Home / 1,166.03-1,747.67-580.86

Finding the Fourth Proportional to 1,166.03, 1,747.67 and 580.86

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Solution

The fourth proportional to 1,166.03, 1,747.67 and 580.86 is: 870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.03 : 1,747.67 = 580.86 : x
  2. Step 2: Convert to fraction form
    1,166.03/1,747.67 = 580.86/x
  3. Step 3: Cross multiply
    1,166.03x = 1,747.67 × 580.86
  4. Step 4: Simplify right side
    1,166.03x = 1,015,151.60
  5. Step 5: Solve for x
    x = 1,015,151.60/1,166.03
  6. Step 6: Final answer
    x = 870.61

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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.