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Finding the Fourth Proportional to 634.88, 876.39 and 537.14

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Solution

The fourth proportional to 634.88, 876.39 and 537.14 is: 741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.88 : 876.39 = 537.14 : x
  2. Step 2: Convert to fraction form
    634.88/876.39 = 537.14/x
  3. Step 3: Cross multiply
    634.88x = 876.39 × 537.14
  4. Step 4: Simplify right side
    634.88x = 470,744.12
  5. Step 5: Solve for x
    x = 470,744.12/634.88
  6. Step 6: Final answer
    x = 741.47

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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.