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Finding the Fourth Proportional to 1,273.17, 1,757.35 and 831.14

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Solution

The fourth proportional to 1,273.17, 1,757.35 and 831.14 is: 1,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.17 : 1,757.35 = 831.14 : x
  2. Step 2: Convert to fraction form
    1,273.17/1,757.35 = 831.14/x
  3. Step 3: Cross multiply
    1,273.17x = 1,757.35 × 831.14
  4. Step 4: Simplify right side
    1,273.17x = 1,460,593.10
  5. Step 5: Solve for x
    x = 1,460,593.10/1,273.17
  6. Step 6: Final answer
    x = 1,147.21

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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.