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Finding the Fourth Proportional to 584.37, 806.04 and 559.47

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Solution

The fourth proportional to 584.37, 806.04 and 559.47 is: 771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.37 : 806.04 = 559.47 : x
  2. Step 2: Convert to fraction form
    584.37/806.04 = 559.47/x
  3. Step 3: Cross multiply
    584.37x = 806.04 × 559.47
  4. Step 4: Simplify right side
    584.37x = 450,955.20
  5. Step 5: Solve for x
    x = 450,955.20/584.37
  6. Step 6: Final answer
    x = 771.69

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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.