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Finding the Fourth Proportional to 1,109.66, 1,665.52 and 562.23

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Solution

The fourth proportional to 1,109.66, 1,665.52 and 562.23 is: 843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.66 : 1,665.52 = 562.23 : x
  2. Step 2: Convert to fraction form
    1,109.66/1,665.52 = 562.23/x
  3. Step 3: Cross multiply
    1,109.66x = 1,665.52 × 562.23
  4. Step 4: Simplify right side
    1,109.66x = 936,405.31
  5. Step 5: Solve for x
    x = 936,405.31/1,109.66
  6. Step 6: Final answer
    x = 843.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.