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Finding the Fourth Proportional to 1,664.85, 2,497.70 and 624.90

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Solution

The fourth proportional to 1,664.85, 2,497.70 and 624.90 is: 937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.85 : 2,497.70 = 624.90 : x
  2. Step 2: Convert to fraction form
    1,664.85/2,497.70 = 624.90/x
  3. Step 3: Cross multiply
    1,664.85x = 2,497.70 × 624.90
  4. Step 4: Simplify right side
    1,664.85x = 1,560,812.73
  5. Step 5: Solve for x
    x = 1,560,812.73/1,664.85
  6. Step 6: Final answer
    x = 937.51

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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.