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Finding the Fourth Proportional to 835.04, 1,252.56 and 593.48

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Solution

The fourth proportional to 835.04, 1,252.56 and 593.48 is: 890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.04 : 1,252.56 = 593.48 : x
  2. Step 2: Convert to fraction form
    835.04/1,252.56 = 593.48/x
  3. Step 3: Cross multiply
    835.04x = 1,252.56 × 593.48
  4. Step 4: Simplify right side
    835.04x = 743,369.31
  5. Step 5: Solve for x
    x = 743,369.31/835.04
  6. Step 6: Final answer
    x = 890.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.