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Finding the Fourth Proportional to 1,648.78, 2,473.14 and 416.20

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Solution

The fourth proportional to 1,648.78, 2,473.14 and 416.20 is: 624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.78 : 2,473.14 = 416.20 : x
  2. Step 2: Convert to fraction form
    1,648.78/2,473.14 = 416.20/x
  3. Step 3: Cross multiply
    1,648.78x = 2,473.14 × 416.20
  4. Step 4: Simplify right side
    1,648.78x = 1,029,320.87
  5. Step 5: Solve for x
    x = 1,029,320.87/1,648.78
  6. Step 6: Final answer
    x = 624.29

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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.