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Finding the Fourth Proportional to 1,406.32, 2,109.72 and 432.24

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Solution

The fourth proportional to 1,406.32, 2,109.72 and 432.24 is: 648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.32 : 2,109.72 = 432.24 : x
  2. Step 2: Convert to fraction form
    1,406.32/2,109.72 = 432.24/x
  3. Step 3: Cross multiply
    1,406.32x = 2,109.72 × 432.24
  4. Step 4: Simplify right side
    1,406.32x = 911,905.37
  5. Step 5: Solve for x
    x = 911,905.37/1,406.32
  6. Step 6: Final answer
    x = 648.43

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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.