Home / 1,177.14-1,765.71-810.83

Finding the Fourth Proportional to 1,177.14, 1,765.71 and 810.83

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Solution

The fourth proportional to 1,177.14, 1,765.71 and 810.83 is: 1,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.14 : 1,765.71 = 810.83 : x
  2. Step 2: Convert to fraction form
    1,177.14/1,765.71 = 810.83/x
  3. Step 3: Cross multiply
    1,177.14x = 1,765.71 × 810.83
  4. Step 4: Simplify right side
    1,177.14x = 1,431,681.81
  5. Step 5: Solve for x
    x = 1,431,681.81/1,177.14
  6. Step 6: Final answer
    x = 1,216.24

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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.