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Finding the Fourth Proportional to 593.04, 889.96 and 511.76

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Solution

The fourth proportional to 593.04, 889.96 and 511.76 is: 767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.04 : 889.96 = 511.76 : x
  2. Step 2: Convert to fraction form
    593.04/889.96 = 511.76/x
  3. Step 3: Cross multiply
    593.04x = 889.96 × 511.76
  4. Step 4: Simplify right side
    593.04x = 455,445.93
  5. Step 5: Solve for x
    x = 455,445.93/593.04
  6. Step 6: Final answer
    x = 767.99

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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.