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Finding the Fourth Proportional to 592.05, 887.38 and 523.70

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Solution

The fourth proportional to 592.05, 887.38 and 523.70 is: 784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.05 : 887.38 = 523.70 : x
  2. Step 2: Convert to fraction form
    592.05/887.38 = 523.70/x
  3. Step 3: Cross multiply
    592.05x = 887.38 × 523.70
  4. Step 4: Simplify right side
    592.05x = 464,720.91
  5. Step 5: Solve for x
    x = 464,720.91/592.05
  6. Step 6: Final answer
    x = 784.94

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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.