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Finding the Fourth Proportional to 593.69, 820.01 and 539.02

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Solution

The fourth proportional to 593.69, 820.01 and 539.02 is: 744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.69 : 820.01 = 539.02 : x
  2. Step 2: Convert to fraction form
    593.69/820.01 = 539.02/x
  3. Step 3: Cross multiply
    593.69x = 820.01 × 539.02
  4. Step 4: Simplify right side
    593.69x = 442,001.79
  5. Step 5: Solve for x
    x = 442,001.79/593.69
  6. Step 6: Final answer
    x = 744.50

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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.