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Finding the Fourth Proportional to 1,014.14, 1,395.34 and 792.71

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Solution

The fourth proportional to 1,014.14, 1,395.34 and 792.71 is: 1,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.14 : 1,395.34 = 792.71 : x
  2. Step 2: Convert to fraction form
    1,014.14/1,395.34 = 792.71/x
  3. Step 3: Cross multiply
    1,014.14x = 1,395.34 × 792.71
  4. Step 4: Simplify right side
    1,014.14x = 1,106,099.97
  5. Step 5: Solve for x
    x = 1,106,099.97/1,014.14
  6. Step 6: Final answer
    x = 1,090.68

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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.