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Finding the Fourth Proportional to 559.85, 836.46 and 540.71

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Solution

The fourth proportional to 559.85, 836.46 and 540.71 is: 807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.85 : 836.46 = 540.71 : x
  2. Step 2: Convert to fraction form
    559.85/836.46 = 540.71/x
  3. Step 3: Cross multiply
    559.85x = 836.46 × 540.71
  4. Step 4: Simplify right side
    559.85x = 452,282.29
  5. Step 5: Solve for x
    x = 452,282.29/559.85
  6. Step 6: Final answer
    x = 807.86

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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.