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Finding the Fourth Proportional to 838.12, 1,156.61 and 460.04

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Solution

The fourth proportional to 838.12, 1,156.61 and 460.04 is: 634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.12 : 1,156.61 = 460.04 : x
  2. Step 2: Convert to fraction form
    838.12/1,156.61 = 460.04/x
  3. Step 3: Cross multiply
    838.12x = 1,156.61 × 460.04
  4. Step 4: Simplify right side
    838.12x = 532,082.23
  5. Step 5: Solve for x
    x = 532,082.23/838.12
  6. Step 6: Final answer
    x = 634.85

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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.