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Finding the Fourth Proportional to 985.89, 1,350.66 and 948.96

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Solution

The fourth proportional to 985.89, 1,350.66 and 948.96 is: 1,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.89 : 1,350.66 = 948.96 : x
  2. Step 2: Convert to fraction form
    985.89/1,350.66 = 948.96/x
  3. Step 3: Cross multiply
    985.89x = 1,350.66 × 948.96
  4. Step 4: Simplify right side
    985.89x = 1,281,724.69
  5. Step 5: Solve for x
    x = 1,281,724.69/985.89
  6. Step 6: Final answer
    x = 1,300.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.