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Finding the Fourth Proportional to 1,110.30, 1,665.09 and 452.01

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Solution

The fourth proportional to 1,110.30, 1,665.09 and 452.01 is: 677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.30 : 1,665.09 = 452.01 : x
  2. Step 2: Convert to fraction form
    1,110.30/1,665.09 = 452.01/x
  3. Step 3: Cross multiply
    1,110.30x = 1,665.09 × 452.01
  4. Step 4: Simplify right side
    1,110.30x = 752,637.33
  5. Step 5: Solve for x
    x = 752,637.33/1,110.30
  6. Step 6: Final answer
    x = 677.87

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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.