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Finding the Fourth Proportional to 849.31, 1,275.75 and 821.62

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Solution

The fourth proportional to 849.31, 1,275.75 and 821.62 is: 1,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.31 : 1,275.75 = 821.62 : x
  2. Step 2: Convert to fraction form
    849.31/1,275.75 = 821.62/x
  3. Step 3: Cross multiply
    849.31x = 1,275.75 × 821.62
  4. Step 4: Simplify right side
    849.31x = 1,048,181.72
  5. Step 5: Solve for x
    x = 1,048,181.72/849.31
  6. Step 6: Final answer
    x = 1,234.16

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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.