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Finding the Fourth Proportional to 584.84, 806.63 and 521.88

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Solution

The fourth proportional to 584.84, 806.63 and 521.88 is: 719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.84 : 806.63 = 521.88 : x
  2. Step 2: Convert to fraction form
    584.84/806.63 = 521.88/x
  3. Step 3: Cross multiply
    584.84x = 806.63 × 521.88
  4. Step 4: Simplify right side
    584.84x = 420,964.06
  5. Step 5: Solve for x
    x = 420,964.06/584.84
  6. Step 6: Final answer
    x = 719.79

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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.