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Finding the Fourth Proportional to 1,101.26, 1,650.45 and 452.48

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Solution

The fourth proportional to 1,101.26, 1,650.45 and 452.48 is: 678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.26 : 1,650.45 = 452.48 : x
  2. Step 2: Convert to fraction form
    1,101.26/1,650.45 = 452.48/x
  3. Step 3: Cross multiply
    1,101.26x = 1,650.45 × 452.48
  4. Step 4: Simplify right side
    1,101.26x = 746,795.62
  5. Step 5: Solve for x
    x = 746,795.62/1,101.26
  6. Step 6: Final answer
    x = 678.13

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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.