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Finding the Fourth Proportional to 838.26, 1,156.71 and 484.14

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Solution

The fourth proportional to 838.26, 1,156.71 and 484.14 is: 668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.26 : 1,156.71 = 484.14 : x
  2. Step 2: Convert to fraction form
    838.26/1,156.71 = 484.14/x
  3. Step 3: Cross multiply
    838.26x = 1,156.71 × 484.14
  4. Step 4: Simplify right side
    838.26x = 560,009.58
  5. Step 5: Solve for x
    x = 560,009.58/838.26
  6. Step 6: Final answer
    x = 668.06

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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.