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Finding the Fourth Proportional to 838.25, 1,156.85 and 465.22

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Solution

The fourth proportional to 838.25, 1,156.85 and 465.22 is: 642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.25 : 1,156.85 = 465.22 : x
  2. Step 2: Convert to fraction form
    838.25/1,156.85 = 465.22/x
  3. Step 3: Cross multiply
    838.25x = 1,156.85 × 465.22
  4. Step 4: Simplify right side
    838.25x = 538,189.76
  5. Step 5: Solve for x
    x = 538,189.76/838.25
  6. Step 6: Final answer
    x = 642.04

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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.