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Finding the Fourth Proportional to 1,282.62, 1,924.29 and 552

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Solution

The fourth proportional to 1,282.62, 1,924.29 and 552 is: 828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.62 : 1,924.29 = 552 : x
  2. Step 2: Convert to fraction form
    1,282.62/1,924.29 = 552/x
  3. Step 3: Cross multiply
    1,282.62x = 1,924.29 × 552
  4. Step 4: Simplify right side
    1,282.62x = 1,062,208.08
  5. Step 5: Solve for x
    x = 1,062,208.08/1,282.62
  6. Step 6: Final answer
    x = 828.15

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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.