Home / 1,431.06-1,974.93-801.57

Finding the Fourth Proportional to 1,431.06, 1,974.93 and 801.57

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Solution

The fourth proportional to 1,431.06, 1,974.93 and 801.57 is: 1,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.06 : 1,974.93 = 801.57 : x
  2. Step 2: Convert to fraction form
    1,431.06/1,974.93 = 801.57/x
  3. Step 3: Cross multiply
    1,431.06x = 1,974.93 × 801.57
  4. Step 4: Simplify right side
    1,431.06x = 1,583,049.04
  5. Step 5: Solve for x
    x = 1,583,049.04/1,431.06
  6. Step 6: Final answer
    x = 1,106.21

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Why These Related Problems?

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