Home / 1,177.33-1,766.10-437.14

Finding the Fourth Proportional to 1,177.33, 1,766.10 and 437.14

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Solution

The fourth proportional to 1,177.33, 1,766.10 and 437.14 is: 655.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.33 : 1,766.10 = 437.14 : x
  2. Step 2: Convert to fraction form
    1,177.33/1,766.10 = 437.14/x
  3. Step 3: Cross multiply
    1,177.33x = 1,766.10 × 437.14
  4. Step 4: Simplify right side
    1,177.33x = 772,028.54
  5. Step 5: Solve for x
    x = 772,028.54/1,177.33
  6. Step 6: Final answer
    x = 655.75

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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.