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Finding the Fourth Proportional to 611.14, 840.86 and 593.91

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Solution

The fourth proportional to 611.14, 840.86 and 593.91 is: 817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.14 : 840.86 = 593.91 : x
  2. Step 2: Convert to fraction form
    611.14/840.86 = 593.91/x
  3. Step 3: Cross multiply
    611.14x = 840.86 × 593.91
  4. Step 4: Simplify right side
    611.14x = 499,390.38
  5. Step 5: Solve for x
    x = 499,390.38/611.14
  6. Step 6: Final answer
    x = 817.15

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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.