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Finding the Fourth Proportional to 1,646.16, 2,469.24 and 476.22

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Solution

The fourth proportional to 1,646.16, 2,469.24 and 476.22 is: 714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.16 : 2,469.24 = 476.22 : x
  2. Step 2: Convert to fraction form
    1,646.16/2,469.24 = 476.22/x
  3. Step 3: Cross multiply
    1,646.16x = 2,469.24 × 476.22
  4. Step 4: Simplify right side
    1,646.16x = 1,175,910.73
  5. Step 5: Solve for x
    x = 1,175,910.73/1,646.16
  6. Step 6: Final answer
    x = 714.34

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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.