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Finding the Fourth Proportional to 952.31, 1,312.94 and 699.44

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Solution

The fourth proportional to 952.31, 1,312.94 and 699.44 is: 964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.31 : 1,312.94 = 699.44 : x
  2. Step 2: Convert to fraction form
    952.31/1,312.94 = 699.44/x
  3. Step 3: Cross multiply
    952.31x = 1,312.94 × 699.44
  4. Step 4: Simplify right side
    952.31x = 918,312.69
  5. Step 5: Solve for x
    x = 918,312.69/952.31
  6. Step 6: Final answer
    x = 964.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.