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Finding the Fourth Proportional to 900.78, 1,351.42 and 284.47

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Solution

The fourth proportional to 900.78, 1,351.42 and 284.47 is: 426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.78 : 1,351.42 = 284.47 : x
  2. Step 2: Convert to fraction form
    900.78/1,351.42 = 284.47/x
  3. Step 3: Cross multiply
    900.78x = 1,351.42 × 284.47
  4. Step 4: Simplify right side
    900.78x = 384,434.36
  5. Step 5: Solve for x
    x = 384,434.36/900.78
  6. Step 6: Final answer
    x = 426.78

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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.