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Finding the Fourth Proportional to 1,647.75, 2,471.98 and 552.07

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Solution

The fourth proportional to 1,647.75, 2,471.98 and 552.07 is: 828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.75 : 2,471.98 = 552.07 : x
  2. Step 2: Convert to fraction form
    1,647.75/2,471.98 = 552.07/x
  3. Step 3: Cross multiply
    1,647.75x = 2,471.98 × 552.07
  4. Step 4: Simplify right side
    1,647.75x = 1,364,706.00
  5. Step 5: Solve for x
    x = 1,364,706.00/1,647.75
  6. Step 6: Final answer
    x = 828.22

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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.