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Finding the Fourth Proportional to 1,647.81, 2,471.31 and 477.81

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Solution

The fourth proportional to 1,647.81, 2,471.31 and 477.81 is: 716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.81 : 2,471.31 = 477.81 : x
  2. Step 2: Convert to fraction form
    1,647.81/2,471.31 = 477.81/x
  3. Step 3: Cross multiply
    1,647.81x = 2,471.31 × 477.81
  4. Step 4: Simplify right side
    1,647.81x = 1,180,816.63
  5. Step 5: Solve for x
    x = 1,180,816.63/1,647.81
  6. Step 6: Final answer
    x = 716.60

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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.