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Finding the Fourth Proportional to 1,471.50, 2,206.62 and 605.34

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Solution

The fourth proportional to 1,471.50, 2,206.62 and 605.34 is: 907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.50 : 2,206.62 = 605.34 : x
  2. Step 2: Convert to fraction form
    1,471.50/2,206.62 = 605.34/x
  3. Step 3: Cross multiply
    1,471.50x = 2,206.62 × 605.34
  4. Step 4: Simplify right side
    1,471.50x = 1,335,755.35
  5. Step 5: Solve for x
    x = 1,335,755.35/1,471.50
  6. Step 6: Final answer
    x = 907.75

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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.