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Finding the Fourth Proportional to 1,092.11, 1,507.16 and 594.73

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Solution

The fourth proportional to 1,092.11, 1,507.16 and 594.73 is: 820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.11 : 1,507.16 = 594.73 : x
  2. Step 2: Convert to fraction form
    1,092.11/1,507.16 = 594.73/x
  3. Step 3: Cross multiply
    1,092.11x = 1,507.16 × 594.73
  4. Step 4: Simplify right side
    1,092.11x = 896,346.53
  5. Step 5: Solve for x
    x = 896,346.53/1,092.11
  6. Step 6: Final answer
    x = 820.75

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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.