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Finding the Fourth Proportional to 1,272.51, 1,756.22 and 831.69

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Solution

The fourth proportional to 1,272.51, 1,756.22 and 831.69 is: 1,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.51 : 1,756.22 = 831.69 : x
  2. Step 2: Convert to fraction form
    1,272.51/1,756.22 = 831.69/x
  3. Step 3: Cross multiply
    1,272.51x = 1,756.22 × 831.69
  4. Step 4: Simplify right side
    1,272.51x = 1,460,626.45
  5. Step 5: Solve for x
    x = 1,460,626.45/1,272.51
  6. Step 6: Final answer
    x = 1,147.83

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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.