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Finding the Fourth Proportional to 985.64, 1,355.82 and 945.68

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Solution

The fourth proportional to 985.64, 1,355.82 and 945.68 is: 1,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.64 : 1,355.82 = 945.68 : x
  2. Step 2: Convert to fraction form
    985.64/1,355.82 = 945.68/x
  3. Step 3: Cross multiply
    985.64x = 1,355.82 × 945.68
  4. Step 4: Simplify right side
    985.64x = 1,282,171.86
  5. Step 5: Solve for x
    x = 1,282,171.86/985.64
  6. Step 6: Final answer
    x = 1,300.85

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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.