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Finding the Fourth Proportional to 1,647.69, 2,471.06 and 461.46

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Solution

The fourth proportional to 1,647.69, 2,471.06 and 461.46 is: 692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.69 : 2,471.06 = 461.46 : x
  2. Step 2: Convert to fraction form
    1,647.69/2,471.06 = 461.46/x
  3. Step 3: Cross multiply
    1,647.69x = 2,471.06 × 461.46
  4. Step 4: Simplify right side
    1,647.69x = 1,140,295.35
  5. Step 5: Solve for x
    x = 1,140,295.35/1,647.69
  6. Step 6: Final answer
    x = 692.06

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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.