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Finding the Fourth Proportional to 837.14, 1,154.84 and 538.29

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Solution

The fourth proportional to 837.14, 1,154.84 and 538.29 is: 742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.14 : 1,154.84 = 538.29 : x
  2. Step 2: Convert to fraction form
    837.14/1,154.84 = 538.29/x
  3. Step 3: Cross multiply
    837.14x = 1,154.84 × 538.29
  4. Step 4: Simplify right side
    837.14x = 621,636.13
  5. Step 5: Solve for x
    x = 621,636.13/837.14
  6. Step 6: Final answer
    x = 742.58

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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.