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Finding the Fourth Proportional to 1,274.64, 1,912.08 and 616.32

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Solution

The fourth proportional to 1,274.64, 1,912.08 and 616.32 is: 924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.64 : 1,912.08 = 616.32 : x
  2. Step 2: Convert to fraction form
    1,274.64/1,912.08 = 616.32/x
  3. Step 3: Cross multiply
    1,274.64x = 1,912.08 × 616.32
  4. Step 4: Simplify right side
    1,274.64x = 1,178,453.15
  5. Step 5: Solve for x
    x = 1,178,453.15/1,274.64
  6. Step 6: Final answer
    x = 924.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.