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Finding the Fourth Proportional to 813.62, 1,122.79 and 440.59

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Solution

The fourth proportional to 813.62, 1,122.79 and 440.59 is: 608.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.62 : 1,122.79 = 440.59 : x
  2. Step 2: Convert to fraction form
    813.62/1,122.79 = 440.59/x
  3. Step 3: Cross multiply
    813.62x = 1,122.79 × 440.59
  4. Step 4: Simplify right side
    813.62x = 494,695.82
  5. Step 5: Solve for x
    x = 494,695.82/813.62
  6. Step 6: Final answer
    x = 608.02

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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.