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Finding the Fourth Proportional to 822, 1,134.42 and 511.56

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Solution

The fourth proportional to 822, 1,134.42 and 511.56 is: 705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    822 : 1,134.42 = 511.56 : x
  2. Step 2: Convert to fraction form
    822/1,134.42 = 511.56/x
  3. Step 3: Cross multiply
    822x = 1,134.42 × 511.56
  4. Step 4: Simplify right side
    822x = 580,323.90
  5. Step 5: Solve for x
    x = 580,323.90/822
  6. Step 6: Final answer
    x = 705.99

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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.