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Finding the Fourth Proportional to 1,282.64, 1,924.20 and 552.16

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Solution

The fourth proportional to 1,282.64, 1,924.20 and 552.16 is: 828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.64 : 1,924.20 = 552.16 : x
  2. Step 2: Convert to fraction form
    1,282.64/1,924.20 = 552.16/x
  3. Step 3: Cross multiply
    1,282.64x = 1,924.20 × 552.16
  4. Step 4: Simplify right side
    1,282.64x = 1,062,466.27
  5. Step 5: Solve for x
    x = 1,062,466.27/1,282.64
  6. Step 6: Final answer
    x = 828.34

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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.