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Finding the Fourth Proportional to 849.96, 1,273.32 and 810

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Solution

The fourth proportional to 849.96, 1,273.32 and 810 is: 1,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.96 : 1,273.32 = 810 : x
  2. Step 2: Convert to fraction form
    849.96/1,273.32 = 810/x
  3. Step 3: Cross multiply
    849.96x = 1,273.32 × 810
  4. Step 4: Simplify right side
    849.96x = 1,031,389.20
  5. Step 5: Solve for x
    x = 1,031,389.20/849.96
  6. Step 6: Final answer
    x = 1,213.46

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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.