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Finding the Fourth Proportional to 933.08, 1,286.94 and 583.64

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Solution

The fourth proportional to 933.08, 1,286.94 and 583.64 is: 804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.08 : 1,286.94 = 583.64 : x
  2. Step 2: Convert to fraction form
    933.08/1,286.94 = 583.64/x
  3. Step 3: Cross multiply
    933.08x = 1,286.94 × 583.64
  4. Step 4: Simplify right side
    933.08x = 751,109.66
  5. Step 5: Solve for x
    x = 751,109.66/933.08
  6. Step 6: Final answer
    x = 804.98

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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.