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Finding the Fourth Proportional to 1,216, 1,823.19 and 566.38

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Solution

The fourth proportional to 1,216, 1,823.19 and 566.38 is: 849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216 : 1,823.19 = 566.38 : x
  2. Step 2: Convert to fraction form
    1,216/1,823.19 = 566.38/x
  3. Step 3: Cross multiply
    1,216x = 1,823.19 × 566.38
  4. Step 4: Simplify right side
    1,216x = 1,032,618.35
  5. Step 5: Solve for x
    x = 1,032,618.35/1,216
  6. Step 6: Final answer
    x = 849.19

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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.