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Finding the Fourth Proportional to 933.60, 1,286.64 and 700.32

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Solution

The fourth proportional to 933.60, 1,286.64 and 700.32 is: 965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.60 : 1,286.64 = 700.32 : x
  2. Step 2: Convert to fraction form
    933.60/1,286.64 = 700.32/x
  3. Step 3: Cross multiply
    933.60x = 1,286.64 × 700.32
  4. Step 4: Simplify right side
    933.60x = 901,059.72
  5. Step 5: Solve for x
    x = 901,059.72/933.60
  6. Step 6: Final answer
    x = 965.15

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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.