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Finding the Fourth Proportional to 947.90, 1,308.02 and 699.36

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Solution

The fourth proportional to 947.90, 1,308.02 and 699.36 is: 965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.90 : 1,308.02 = 699.36 : x
  2. Step 2: Convert to fraction form
    947.90/1,308.02 = 699.36/x
  3. Step 3: Cross multiply
    947.90x = 1,308.02 × 699.36
  4. Step 4: Simplify right side
    947.90x = 914,773.37
  5. Step 5: Solve for x
    x = 914,773.37/947.90
  6. Step 6: Final answer
    x = 965.06

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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.