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Finding the Fourth Proportional to 1,224.97, 1,690.45 and 665.43

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Solution

The fourth proportional to 1,224.97, 1,690.45 and 665.43 is: 918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.97 : 1,690.45 = 665.43 : x
  2. Step 2: Convert to fraction form
    1,224.97/1,690.45 = 665.43/x
  3. Step 3: Cross multiply
    1,224.97x = 1,690.45 × 665.43
  4. Step 4: Simplify right side
    1,224.97x = 1,124,876.14
  5. Step 5: Solve for x
    x = 1,124,876.14/1,224.97
  6. Step 6: Final answer
    x = 918.29

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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.