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Finding the Fourth Proportional to 593.53, 889.11 and 542.77

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Solution

The fourth proportional to 593.53, 889.11 and 542.77 is: 813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.53 : 889.11 = 542.77 : x
  2. Step 2: Convert to fraction form
    593.53/889.11 = 542.77/x
  3. Step 3: Cross multiply
    593.53x = 889.11 × 542.77
  4. Step 4: Simplify right side
    593.53x = 482,580.01
  5. Step 5: Solve for x
    x = 482,580.01/593.53
  6. Step 6: Final answer
    x = 813.07

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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.