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Finding the Fourth Proportional to 1,218.87, 1,828.41 and 569.25

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Solution

The fourth proportional to 1,218.87, 1,828.41 and 569.25 is: 853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.87 : 1,828.41 = 569.25 : x
  2. Step 2: Convert to fraction form
    1,218.87/1,828.41 = 569.25/x
  3. Step 3: Cross multiply
    1,218.87x = 1,828.41 × 569.25
  4. Step 4: Simplify right side
    1,218.87x = 1,040,822.39
  5. Step 5: Solve for x
    x = 1,040,822.39/1,218.87
  6. Step 6: Final answer
    x = 853.92

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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.