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Finding the Fourth Proportional to 1,508.49, 2,261.17 and 727.32

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Solution

The fourth proportional to 1,508.49, 2,261.17 and 727.32 is: 1,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.49 : 2,261.17 = 727.32 : x
  2. Step 2: Convert to fraction form
    1,508.49/2,261.17 = 727.32/x
  3. Step 3: Cross multiply
    1,508.49x = 2,261.17 × 727.32
  4. Step 4: Simplify right side
    1,508.49x = 1,644,582.50
  5. Step 5: Solve for x
    x = 1,644,582.50/1,508.49
  6. Step 6: Final answer
    x = 1,090.21

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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.