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Finding the Fourth Proportional to 593.82, 891.25 and 524.62

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Solution

The fourth proportional to 593.82, 891.25 and 524.62 is: 787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.82 : 891.25 = 524.62 : x
  2. Step 2: Convert to fraction form
    593.82/891.25 = 524.62/x
  3. Step 3: Cross multiply
    593.82x = 891.25 × 524.62
  4. Step 4: Simplify right side
    593.82x = 467,568.37
  5. Step 5: Solve for x
    x = 467,568.37/593.82
  6. Step 6: Final answer
    x = 787.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.