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Finding the Fourth Proportional to 1,406.05, 2,109.14 and 432.20

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Solution

The fourth proportional to 1,406.05, 2,109.14 and 432.20 is: 648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.05 : 2,109.14 = 432.20 : x
  2. Step 2: Convert to fraction form
    1,406.05/2,109.14 = 432.20/x
  3. Step 3: Cross multiply
    1,406.05x = 2,109.14 × 432.20
  4. Step 4: Simplify right side
    1,406.05x = 911,570.31
  5. Step 5: Solve for x
    x = 911,570.31/1,406.05
  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.