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Finding the Fourth Proportional to 1,100.49, 1,650.65 and 484.19

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Solution

The fourth proportional to 1,100.49, 1,650.65 and 484.19 is: 726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.49 : 1,650.65 = 484.19 : x
  2. Step 2: Convert to fraction form
    1,100.49/1,650.65 = 484.19/x
  3. Step 3: Cross multiply
    1,100.49x = 1,650.65 × 484.19
  4. Step 4: Simplify right side
    1,100.49x = 799,233.02
  5. Step 5: Solve for x
    x = 799,233.02/1,100.49
  6. Step 6: Final answer
    x = 726.25

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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.