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Finding the Fourth Proportional to 1,777.33, 2,665.68 and 803.20

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Solution

The fourth proportional to 1,777.33, 2,665.68 and 803.20 is: 1,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.33 : 2,665.68 = 803.20 : x
  2. Step 2: Convert to fraction form
    1,777.33/2,665.68 = 803.20/x
  3. Step 3: Cross multiply
    1,777.33x = 2,665.68 × 803.20
  4. Step 4: Simplify right side
    1,777.33x = 2,141,067.51
  5. Step 5: Solve for x
    x = 2,141,067.51/1,777.33
  6. Step 6: Final answer
    x = 1,204.66

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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.