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Finding the Fourth Proportional to 593.87, 888.47 and 524.61

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Solution

The fourth proportional to 593.87, 888.47 and 524.61 is: 784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.87 : 888.47 = 524.61 : x
  2. Step 2: Convert to fraction form
    593.87/888.47 = 524.61/x
  3. Step 3: Cross multiply
    593.87x = 888.47 × 524.61
  4. Step 4: Simplify right side
    593.87x = 466,100.25
  5. Step 5: Solve for x
    x = 466,100.25/593.87
  6. Step 6: Final answer
    x = 784.85

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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.