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Finding the Fourth Proportional to 593.96, 886.76 and 512.76

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Solution

The fourth proportional to 593.96, 886.76 and 512.76 is: 765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.96 : 886.76 = 512.76 : x
  2. Step 2: Convert to fraction form
    593.96/886.76 = 512.76/x
  3. Step 3: Cross multiply
    593.96x = 886.76 × 512.76
  4. Step 4: Simplify right side
    593.96x = 454,695.06
  5. Step 5: Solve for x
    x = 454,695.06/593.96
  6. Step 6: Final answer
    x = 765.53

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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.