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Finding the Fourth Proportional to 1,388.68, 2,083.02 and 566.05

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Solution

The fourth proportional to 1,388.68, 2,083.02 and 566.05 is: 849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.68 : 2,083.02 = 566.05 : x
  2. Step 2: Convert to fraction form
    1,388.68/2,083.02 = 566.05/x
  3. Step 3: Cross multiply
    1,388.68x = 2,083.02 × 566.05
  4. Step 4: Simplify right side
    1,388.68x = 1,179,093.47
  5. Step 5: Solve for x
    x = 1,179,093.47/1,388.68
  6. Step 6: Final answer
    x = 849.08

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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.