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Finding the Fourth Proportional to 948.72, 1,310.40 and 686.32

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Solution

The fourth proportional to 948.72, 1,310.40 and 686.32 is: 947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.72 : 1,310.40 = 686.32 : x
  2. Step 2: Convert to fraction form
    948.72/1,310.40 = 686.32/x
  3. Step 3: Cross multiply
    948.72x = 1,310.40 × 686.32
  4. Step 4: Simplify right side
    948.72x = 899,353.73
  5. Step 5: Solve for x
    x = 899,353.73/948.72
  6. Step 6: Final answer
    x = 947.97

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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.