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Finding the Fourth Proportional to 1,204.78, 1,806.87 and 464.24

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Solution

The fourth proportional to 1,204.78, 1,806.87 and 464.24 is: 696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.78 : 1,806.87 = 464.24 : x
  2. Step 2: Convert to fraction form
    1,204.78/1,806.87 = 464.24/x
  3. Step 3: Cross multiply
    1,204.78x = 1,806.87 × 464.24
  4. Step 4: Simplify right side
    1,204.78x = 838,821.33
  5. Step 5: Solve for x
    x = 838,821.33/1,204.78
  6. Step 6: Final answer
    x = 696.24

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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.