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Finding the Fourth Proportional to 819.65, 1,131.08 and 567.83

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Solution

The fourth proportional to 819.65, 1,131.08 and 567.83 is: 783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.65 : 1,131.08 = 567.83 : x
  2. Step 2: Convert to fraction form
    819.65/1,131.08 = 567.83/x
  3. Step 3: Cross multiply
    819.65x = 1,131.08 × 567.83
  4. Step 4: Simplify right side
    819.65x = 642,252.66
  5. Step 5: Solve for x
    x = 642,252.66/819.65
  6. Step 6: Final answer
    x = 783.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.