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Finding the Fourth Proportional to 1,633.01, 2,449.92 and 766.31

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Solution

The fourth proportional to 1,633.01, 2,449.92 and 766.31 is: 1,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.01 : 2,449.92 = 766.31 : x
  2. Step 2: Convert to fraction form
    1,633.01/2,449.92 = 766.31/x
  3. Step 3: Cross multiply
    1,633.01x = 2,449.92 × 766.31
  4. Step 4: Simplify right side
    1,633.01x = 1,877,398.20
  5. Step 5: Solve for x
    x = 1,877,398.20/1,633.01
  6. Step 6: Final answer
    x = 1,149.66

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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.