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Finding the Fourth Proportional to 1,648.71, 2,473.02 and 416.16

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Solution

The fourth proportional to 1,648.71, 2,473.02 and 416.16 is: 624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.71 : 2,473.02 = 416.16 : x
  2. Step 2: Convert to fraction form
    1,648.71/2,473.02 = 416.16/x
  3. Step 3: Cross multiply
    1,648.71x = 2,473.02 × 416.16
  4. Step 4: Simplify right side
    1,648.71x = 1,029,172.00
  5. Step 5: Solve for x
    x = 1,029,172.00/1,648.71
  6. Step 6: Final answer
    x = 624.23

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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.