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Finding the Fourth Proportional to 1,109.24, 1,530.74 and 611.91

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Solution

The fourth proportional to 1,109.24, 1,530.74 and 611.91 is: 844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.24 : 1,530.74 = 611.91 : x
  2. Step 2: Convert to fraction form
    1,109.24/1,530.74 = 611.91/x
  3. Step 3: Cross multiply
    1,109.24x = 1,530.74 × 611.91
  4. Step 4: Simplify right side
    1,109.24x = 936,667.46
  5. Step 5: Solve for x
    x = 936,667.46/1,109.24
  6. Step 6: Final answer
    x = 844.43

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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.