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Finding the Fourth Proportional to 933.60, 1,288.56 and 584.64

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Solution

The fourth proportional to 933.60, 1,288.56 and 584.64 is: 806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.60 : 1,288.56 = 584.64 : x
  2. Step 2: Convert to fraction form
    933.60/1,288.56 = 584.64/x
  3. Step 3: Cross multiply
    933.60x = 1,288.56 × 584.64
  4. Step 4: Simplify right side
    933.60x = 753,343.72
  5. Step 5: Solve for x
    x = 753,343.72/933.60
  6. Step 6: Final answer
    x = 806.92

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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.