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Finding the Fourth Proportional to 593.15, 885.78 and 511.14

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Solution

The fourth proportional to 593.15, 885.78 and 511.14 is: 763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.15 : 885.78 = 511.14 : x
  2. Step 2: Convert to fraction form
    593.15/885.78 = 511.14/x
  3. Step 3: Cross multiply
    593.15x = 885.78 × 511.14
  4. Step 4: Simplify right side
    593.15x = 452,757.59
  5. Step 5: Solve for x
    x = 452,757.59/593.15
  6. Step 6: Final answer
    x = 763.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.