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Finding the Fourth Proportional to 1,650.44, 2,473.04 and 609

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Solution

The fourth proportional to 1,650.44, 2,473.04 and 609 is: 912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.44 : 2,473.04 = 609 : x
  2. Step 2: Convert to fraction form
    1,650.44/2,473.04 = 609/x
  3. Step 3: Cross multiply
    1,650.44x = 2,473.04 × 609
  4. Step 4: Simplify right side
    1,650.44x = 1,506,078.32
  5. Step 5: Solve for x
    x = 1,506,078.32/1,650.44
  6. Step 6: Final answer
    x = 912.53

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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.