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Finding the Fourth Proportional to 827.18, 1,141.34 and 532.40

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Solution

The fourth proportional to 827.18, 1,141.34 and 532.40 is: 734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.18 : 1,141.34 = 532.40 : x
  2. Step 2: Convert to fraction form
    827.18/1,141.34 = 532.40/x
  3. Step 3: Cross multiply
    827.18x = 1,141.34 × 532.40
  4. Step 4: Simplify right side
    827.18x = 607,649.42
  5. Step 5: Solve for x
    x = 607,649.42/827.18
  6. Step 6: Final answer
    x = 734.61

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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.