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Finding the Fourth Proportional to 792.75, 1,094.61 and 627.81

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Solution

The fourth proportional to 792.75, 1,094.61 and 627.81 is: 866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.75 : 1,094.61 = 627.81 : x
  2. Step 2: Convert to fraction form
    792.75/1,094.61 = 627.81/x
  3. Step 3: Cross multiply
    792.75x = 1,094.61 × 627.81
  4. Step 4: Simplify right side
    792.75x = 687,207.10
  5. Step 5: Solve for x
    x = 687,207.10/792.75
  6. Step 6: Final answer
    x = 866.86

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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.