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Finding the Fourth Proportional to 1,272.76, 1,756.29 and 713.19

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Solution

The fourth proportional to 1,272.76, 1,756.29 and 713.19 is: 984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.76 : 1,756.29 = 713.19 : x
  2. Step 2: Convert to fraction form
    1,272.76/1,756.29 = 713.19/x
  3. Step 3: Cross multiply
    1,272.76x = 1,756.29 × 713.19
  4. Step 4: Simplify right side
    1,272.76x = 1,252,568.47
  5. Step 5: Solve for x
    x = 1,252,568.47/1,272.76
  6. Step 6: Final answer
    x = 984.14

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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.