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Finding the Fourth Proportional to 1,352.07, 1,866.31 and 792.71

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Solution

The fourth proportional to 1,352.07, 1,866.31 and 792.71 is: 1,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.07 : 1,866.31 = 792.71 : x
  2. Step 2: Convert to fraction form
    1,352.07/1,866.31 = 792.71/x
  3. Step 3: Cross multiply
    1,352.07x = 1,866.31 × 792.71
  4. Step 4: Simplify right side
    1,352.07x = 1,479,442.60
  5. Step 5: Solve for x
    x = 1,479,442.60/1,352.07
  6. Step 6: Final answer
    x = 1,094.21

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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.