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Finding the Fourth Proportional to 1,109.04, 1,530.57 and 611.78

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Solution

The fourth proportional to 1,109.04, 1,530.57 and 611.78 is: 844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.04 : 1,530.57 = 611.78 : x
  2. Step 2: Convert to fraction form
    1,109.04/1,530.57 = 611.78/x
  3. Step 3: Cross multiply
    1,109.04x = 1,530.57 × 611.78
  4. Step 4: Simplify right side
    1,109.04x = 936,372.11
  5. Step 5: Solve for x
    x = 936,372.11/1,109.04
  6. Step 6: Final answer
    x = 844.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.