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Finding the Fourth Proportional to 1,109.31, 1,530.85 and 611.94

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Solution

The fourth proportional to 1,109.31, 1,530.85 and 611.94 is: 844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.31 : 1,530.85 = 611.94 : x
  2. Step 2: Convert to fraction form
    1,109.31/1,530.85 = 611.94/x
  3. Step 3: Cross multiply
    1,109.31x = 1,530.85 × 611.94
  4. Step 4: Simplify right side
    1,109.31x = 936,788.35
  5. Step 5: Solve for x
    x = 936,788.35/1,109.31
  6. Step 6: Final answer
    x = 844.48

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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.