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Finding the Fourth Proportional to 1,338.78, 2,009.01 and 569.28

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Solution

The fourth proportional to 1,338.78, 2,009.01 and 569.28 is: 854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.78 : 2,009.01 = 569.28 : x
  2. Step 2: Convert to fraction form
    1,338.78/2,009.01 = 569.28/x
  3. Step 3: Cross multiply
    1,338.78x = 2,009.01 × 569.28
  4. Step 4: Simplify right side
    1,338.78x = 1,143,689.21
  5. Step 5: Solve for x
    x = 1,143,689.21/1,338.78
  6. Step 6: Final answer
    x = 854.28

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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.