Home / 1,176.51-1,765.83-982.71

Finding the Fourth Proportional to 1,176.51, 1,765.83 and 982.71

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Solution

The fourth proportional to 1,176.51, 1,765.83 and 982.71 is: 1,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.51 : 1,765.83 = 982.71 : x
  2. Step 2: Convert to fraction form
    1,176.51/1,765.83 = 982.71/x
  3. Step 3: Cross multiply
    1,176.51x = 1,765.83 × 982.71
  4. Step 4: Simplify right side
    1,176.51x = 1,735,298.80
  5. Step 5: Solve for x
    x = 1,735,298.80/1,176.51
  6. Step 6: Final answer
    x = 1,474.95

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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.