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Finding the Fourth Proportional to 1,406.44, 2,109.92 and 432.48

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Solution

The fourth proportional to 1,406.44, 2,109.92 and 432.48 is: 648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.44 : 2,109.92 = 432.48 : x
  2. Step 2: Convert to fraction form
    1,406.44/2,109.92 = 432.48/x
  3. Step 3: Cross multiply
    1,406.44x = 2,109.92 × 432.48
  4. Step 4: Simplify right side
    1,406.44x = 912,498.20
  5. Step 5: Solve for x
    x = 912,498.20/1,406.44
  6. Step 6: Final answer
    x = 648.80

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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.