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Finding the Fourth Proportional to 805.11, 1,107.59 and 671.46

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Solution

The fourth proportional to 805.11, 1,107.59 and 671.46 is: 923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.11 : 1,107.59 = 671.46 : x
  2. Step 2: Convert to fraction form
    805.11/1,107.59 = 671.46/x
  3. Step 3: Cross multiply
    805.11x = 1,107.59 × 671.46
  4. Step 4: Simplify right side
    805.11x = 743,699.02
  5. Step 5: Solve for x
    x = 743,699.02/805.11
  6. Step 6: Final answer
    x = 923.72

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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.