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Finding the Fourth Proportional to 1,218.84, 1,828.53 and 569.22

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Solution

The fourth proportional to 1,218.84, 1,828.53 and 569.22 is: 853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.84 : 1,828.53 = 569.22 : x
  2. Step 2: Convert to fraction form
    1,218.84/1,828.53 = 569.22/x
  3. Step 3: Cross multiply
    1,218.84x = 1,828.53 × 569.22
  4. Step 4: Simplify right side
    1,218.84x = 1,040,835.85
  5. Step 5: Solve for x
    x = 1,040,835.85/1,218.84
  6. Step 6: Final answer
    x = 853.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.