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Finding the Fourth Proportional to 1,646.82, 2,469.84 and 476.55

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Solution

The fourth proportional to 1,646.82, 2,469.84 and 476.55 is: 714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.82 : 2,469.84 = 476.55 : x
  2. Step 2: Convert to fraction form
    1,646.82/2,469.84 = 476.55/x
  3. Step 3: Cross multiply
    1,646.82x = 2,469.84 × 476.55
  4. Step 4: Simplify right side
    1,646.82x = 1,177,002.25
  5. Step 5: Solve for x
    x = 1,177,002.25/1,646.82
  6. Step 6: Final answer
    x = 714.71

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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.