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Finding the Fourth Proportional to 966, 1,334.16 and 654.96

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Solution

The fourth proportional to 966, 1,334.16 and 654.96 is: 904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    966 : 1,334.16 = 654.96 : x
  2. Step 2: Convert to fraction form
    966/1,334.16 = 654.96/x
  3. Step 3: Cross multiply
    966x = 1,334.16 × 654.96
  4. Step 4: Simplify right side
    966x = 873,821.43
  5. Step 5: Solve for x
    x = 873,821.43/966
  6. Step 6: Final answer
    x = 904.58

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Why These Related Problems?

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