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Finding the Fourth Proportional to 1,217.84, 1,827.32 and 569

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Solution

The fourth proportional to 1,217.84, 1,827.32 and 569 is: 853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.84 : 1,827.32 = 569 : x
  2. Step 2: Convert to fraction form
    1,217.84/1,827.32 = 569/x
  3. Step 3: Cross multiply
    1,217.84x = 1,827.32 × 569
  4. Step 4: Simplify right side
    1,217.84x = 1,039,745.08
  5. Step 5: Solve for x
    x = 1,039,745.08/1,217.84
  6. Step 6: Final answer
    x = 853.76

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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.