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Finding the Fourth Proportional to 1,406.22, 2,108.91 and 432.30

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Solution

The fourth proportional to 1,406.22, 2,108.91 and 432.30 is: 648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.22 : 2,108.91 = 432.30 : x
  2. Step 2: Convert to fraction form
    1,406.22/2,108.91 = 432.30/x
  3. Step 3: Cross multiply
    1,406.22x = 2,108.91 × 432.30
  4. Step 4: Simplify right side
    1,406.22x = 911,681.79
  5. Step 5: Solve for x
    x = 911,681.79/1,406.22
  6. Step 6: Final answer
    x = 648.32

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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.