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Finding the Fourth Proportional to 1,218.83, 1,828.52 and 569.21

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Solution

The fourth proportional to 1,218.83, 1,828.52 and 569.21 is: 853.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.83 : 1,828.52 = 569.21 : x
  2. Step 2: Convert to fraction form
    1,218.83/1,828.52 = 569.21/x
  3. Step 3: Cross multiply
    1,218.83x = 1,828.52 × 569.21
  4. Step 4: Simplify right side
    1,218.83x = 1,040,817.86
  5. Step 5: Solve for x
    x = 1,040,817.86/1,218.83
  6. Step 6: Final answer
    x = 853.95

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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.