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Finding the Fourth Proportional to 593.50, 820.12 and 565.05

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Solution

The fourth proportional to 593.50, 820.12 and 565.05 is: 780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.50 : 820.12 = 565.05 : x
  2. Step 2: Convert to fraction form
    593.50/820.12 = 565.05/x
  3. Step 3: Cross multiply
    593.50x = 820.12 × 565.05
  4. Step 4: Simplify right side
    593.50x = 463,408.81
  5. Step 5: Solve for x
    x = 463,408.81/593.50
  6. Step 6: Final answer
    x = 780.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.