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Finding the Fourth Proportional to 1,406.28, 2,109.28 and 432.40

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Solution

The fourth proportional to 1,406.28, 2,109.28 and 432.40 is: 648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.28 : 2,109.28 = 432.40 : x
  2. Step 2: Convert to fraction form
    1,406.28/2,109.28 = 432.40/x
  3. Step 3: Cross multiply
    1,406.28x = 2,109.28 × 432.40
  4. Step 4: Simplify right side
    1,406.28x = 912,052.67
  5. Step 5: Solve for x
    x = 912,052.67/1,406.28
  6. Step 6: Final answer
    x = 648.56

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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.