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Finding the Fourth Proportional to 593.62, 813.26 and 571.45

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Solution

The fourth proportional to 593.62, 813.26 and 571.45 is: 782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.62 : 813.26 = 571.45 : x
  2. Step 2: Convert to fraction form
    593.62/813.26 = 571.45/x
  3. Step 3: Cross multiply
    593.62x = 813.26 × 571.45
  4. Step 4: Simplify right side
    593.62x = 464,737.43
  5. Step 5: Solve for x
    x = 464,737.43/593.62
  6. Step 6: Final answer
    x = 782.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.