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Finding the Fourth Proportional to 810.35, 1,116.11 and 699.62

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Solution

The fourth proportional to 810.35, 1,116.11 and 699.62 is: 963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.35 : 1,116.11 = 699.62 : x
  2. Step 2: Convert to fraction form
    810.35/1,116.11 = 699.62/x
  3. Step 3: Cross multiply
    810.35x = 1,116.11 × 699.62
  4. Step 4: Simplify right side
    810.35x = 780,857.42
  5. Step 5: Solve for x
    x = 780,857.42/810.35
  6. Step 6: Final answer
    x = 963.61

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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.