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Finding the Fourth Proportional to 835.41, 1,152.83 and 540.17

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Solution

The fourth proportional to 835.41, 1,152.83 and 540.17 is: 745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.41 : 1,152.83 = 540.17 : x
  2. Step 2: Convert to fraction form
    835.41/1,152.83 = 540.17/x
  3. Step 3: Cross multiply
    835.41x = 1,152.83 × 540.17
  4. Step 4: Simplify right side
    835.41x = 622,719.95
  5. Step 5: Solve for x
    x = 622,719.95/835.41
  6. Step 6: Final answer
    x = 745.40

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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.