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Finding the Fourth Proportional to 1,471.01, 2,206.44 and 430.97

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Solution

The fourth proportional to 1,471.01, 2,206.44 and 430.97 is: 646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.01 : 2,206.44 = 430.97 : x
  2. Step 2: Convert to fraction form
    1,471.01/2,206.44 = 430.97/x
  3. Step 3: Cross multiply
    1,471.01x = 2,206.44 × 430.97
  4. Step 4: Simplify right side
    1,471.01x = 950,898.41
  5. Step 5: Solve for x
    x = 950,898.41/1,471.01
  6. Step 6: Final answer
    x = 646.43

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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.