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Finding the Fourth Proportional to 1,112.36, 1,665.82 and 649.12

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Solution

The fourth proportional to 1,112.36, 1,665.82 and 649.12 is: 972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.36 : 1,665.82 = 649.12 : x
  2. Step 2: Convert to fraction form
    1,112.36/1,665.82 = 649.12/x
  3. Step 3: Cross multiply
    1,112.36x = 1,665.82 × 649.12
  4. Step 4: Simplify right side
    1,112.36x = 1,081,317.08
  5. Step 5: Solve for x
    x = 1,081,317.08/1,112.36
  6. Step 6: Final answer
    x = 972.09

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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.