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Finding the Fourth Proportional to 947.97, 1,308.15 and 554.94

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Solution

The fourth proportional to 947.97, 1,308.15 and 554.94 is: 765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.97 : 1,308.15 = 554.94 : x
  2. Step 2: Convert to fraction form
    947.97/1,308.15 = 554.94/x
  3. Step 3: Cross multiply
    947.97x = 1,308.15 × 554.94
  4. Step 4: Simplify right side
    947.97x = 725,944.76
  5. Step 5: Solve for x
    x = 725,944.76/947.97
  6. Step 6: Final answer
    x = 765.79

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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.