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Finding the Fourth Proportional to 1,524.64, 2,286.96 and 613.28

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Solution

The fourth proportional to 1,524.64, 2,286.96 and 613.28 is: 919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.64 : 2,286.96 = 613.28 : x
  2. Step 2: Convert to fraction form
    1,524.64/2,286.96 = 613.28/x
  3. Step 3: Cross multiply
    1,524.64x = 2,286.96 × 613.28
  4. Step 4: Simplify right side
    1,524.64x = 1,402,546.83
  5. Step 5: Solve for x
    x = 1,402,546.83/1,524.64
  6. Step 6: Final answer
    x = 919.92

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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.