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Finding the Fourth Proportional to 1,273.81, 1,756.75 and 831.25

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Solution

The fourth proportional to 1,273.81, 1,756.75 and 831.25 is: 1,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.81 : 1,756.75 = 831.25 : x
  2. Step 2: Convert to fraction form
    1,273.81/1,756.75 = 831.25/x
  3. Step 3: Cross multiply
    1,273.81x = 1,756.75 × 831.25
  4. Step 4: Simplify right side
    1,273.81x = 1,460,298.44
  5. Step 5: Solve for x
    x = 1,460,298.44/1,273.81
  6. Step 6: Final answer
    x = 1,146.40

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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.