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Finding the Fourth Proportional to 835.33, 1,153.00 and 540.61

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Solution

The fourth proportional to 835.33, 1,153.00 and 540.61 is: 746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.33 : 1,153.00 = 540.61 : x
  2. Step 2: Convert to fraction form
    835.33/1,153.00 = 540.61/x
  3. Step 3: Cross multiply
    835.33x = 1,153.00 × 540.61
  4. Step 4: Simplify right side
    835.33x = 623,326.60
  5. Step 5: Solve for x
    x = 623,326.60/835.33
  6. Step 6: Final answer
    x = 746.21

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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.