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Finding the Fourth Proportional to 810.74, 1,216.42 and 486.34

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Solution

The fourth proportional to 810.74, 1,216.42 and 486.34 is: 729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.74 : 1,216.42 = 486.34 : x
  2. Step 2: Convert to fraction form
    810.74/1,216.42 = 486.34/x
  3. Step 3: Cross multiply
    810.74x = 1,216.42 × 486.34
  4. Step 4: Simplify right side
    810.74x = 591,589.45
  5. Step 5: Solve for x
    x = 591,589.45/810.74
  6. Step 6: Final answer
    x = 729.69

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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.