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Finding the Fourth Proportional to 810.97, 1,119.14 and 461.66

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Solution

The fourth proportional to 810.97, 1,119.14 and 461.66 is: 637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.97 : 1,119.14 = 461.66 : x
  2. Step 2: Convert to fraction form
    810.97/1,119.14 = 461.66/x
  3. Step 3: Cross multiply
    810.97x = 1,119.14 × 461.66
  4. Step 4: Simplify right side
    810.97x = 516,657.11
  5. Step 5: Solve for x
    x = 516,657.11/810.97
  6. Step 6: Final answer
    x = 637.09

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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.