Home / 1,431.30-1,975.17-801.78

Finding the Fourth Proportional to 1,431.30, 1,975.17 and 801.78

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Solution

The fourth proportional to 1,431.30, 1,975.17 and 801.78 is: 1,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.30 : 1,975.17 = 801.78 : x
  2. Step 2: Convert to fraction form
    1,431.30/1,975.17 = 801.78/x
  3. Step 3: Cross multiply
    1,431.30x = 1,975.17 × 801.78
  4. Step 4: Simplify right side
    1,431.30x = 1,583,651.80
  5. Step 5: Solve for x
    x = 1,583,651.80/1,431.30
  6. Step 6: Final answer
    x = 1,106.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.