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Finding the Fourth Proportional to 814.55, 1,216.06 and 691.56

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Solution

The fourth proportional to 814.55, 1,216.06 and 691.56 is: 1,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.55 : 1,216.06 = 691.56 : x
  2. Step 2: Convert to fraction form
    814.55/1,216.06 = 691.56/x
  3. Step 3: Cross multiply
    814.55x = 1,216.06 × 691.56
  4. Step 4: Simplify right side
    814.55x = 840,976.72
  5. Step 5: Solve for x
    x = 840,976.72/814.55
  6. Step 6: Final answer
    x = 1,032.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.