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Finding the Fourth Proportional to 810.34, 1,213.68 and 567.95

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Solution

The fourth proportional to 810.34, 1,213.68 and 567.95 is: 850.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.34 : 1,213.68 = 567.95 : x
  2. Step 2: Convert to fraction form
    810.34/1,213.68 = 567.95/x
  3. Step 3: Cross multiply
    810.34x = 1,213.68 × 567.95
  4. Step 4: Simplify right side
    810.34x = 689,309.56
  5. Step 5: Solve for x
    x = 689,309.56/810.34
  6. Step 6: Final answer
    x = 850.64

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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.