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Finding the Fourth Proportional to 952.87, 1,429.20 and 646.69

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Solution

The fourth proportional to 952.87, 1,429.20 and 646.69 is: 969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.87 : 1,429.20 = 646.69 : x
  2. Step 2: Convert to fraction form
    952.87/1,429.20 = 646.69/x
  3. Step 3: Cross multiply
    952.87x = 1,429.20 × 646.69
  4. Step 4: Simplify right side
    952.87x = 924,249.35
  5. Step 5: Solve for x
    x = 924,249.35/952.87
  6. Step 6: Final answer
    x = 969.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.