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Finding the Fourth Proportional to 593.80, 829.70 and 593.80

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Solution

The fourth proportional to 593.80, 829.70 and 593.80 is: 829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.80 : 829.70 = 593.80 : x
  2. Step 2: Convert to fraction form
    593.80/829.70 = 593.80/x
  3. Step 3: Cross multiply
    593.80x = 829.70 × 593.80
  4. Step 4: Simplify right side
    593.80x = 492,675.86
  5. Step 5: Solve for x
    x = 492,675.86/593.80
  6. Step 6: Final answer
    x = 829.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.