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Finding the Fourth Proportional to 1,406.82, 2,109.96 and 432.66

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Solution

The fourth proportional to 1,406.82, 2,109.96 and 432.66 is: 648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.82 : 2,109.96 = 432.66 : x
  2. Step 2: Convert to fraction form
    1,406.82/2,109.96 = 432.66/x
  3. Step 3: Cross multiply
    1,406.82x = 2,109.96 × 432.66
  4. Step 4: Simplify right side
    1,406.82x = 912,895.29
  5. Step 5: Solve for x
    x = 912,895.29/1,406.82
  6. Step 6: Final answer
    x = 648.91

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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.