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Finding the Fourth Proportional to 900.64, 1,351.14 and 284.50

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Solution

The fourth proportional to 900.64, 1,351.14 and 284.50 is: 426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.64 : 1,351.14 = 284.50 : x
  2. Step 2: Convert to fraction form
    900.64/1,351.14 = 284.50/x
  3. Step 3: Cross multiply
    900.64x = 1,351.14 × 284.50
  4. Step 4: Simplify right side
    900.64x = 384,399.33
  5. Step 5: Solve for x
    x = 384,399.33/900.64
  6. Step 6: Final answer
    x = 426.81

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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.