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Finding the Fourth Proportional to 1,406.33, 2,109.49 and 432.42

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Solution

The fourth proportional to 1,406.33, 2,109.49 and 432.42 is: 648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.33 : 2,109.49 = 432.42 : x
  2. Step 2: Convert to fraction form
    1,406.33/2,109.49 = 432.42/x
  3. Step 3: Cross multiply
    1,406.33x = 2,109.49 × 432.42
  4. Step 4: Simplify right side
    1,406.33x = 912,190.97
  5. Step 5: Solve for x
    x = 912,190.97/1,406.33
  6. Step 6: Final answer
    x = 648.63

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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.