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Finding the Fourth Proportional to 835.85, 1,153.31 and 541.50

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Solution

The fourth proportional to 835.85, 1,153.31 and 541.50 is: 747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.85 : 1,153.31 = 541.50 : x
  2. Step 2: Convert to fraction form
    835.85/1,153.31 = 541.50/x
  3. Step 3: Cross multiply
    835.85x = 1,153.31 × 541.50
  4. Step 4: Simplify right side
    835.85x = 624,514.66
  5. Step 5: Solve for x
    x = 624,514.66/835.85
  6. Step 6: Final answer
    x = 747.17

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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.