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Finding the Fourth Proportional to 930.43, 1,282.56 and 635.20

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Solution

The fourth proportional to 930.43, 1,282.56 and 635.20 is: 875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.43 : 1,282.56 = 635.20 : x
  2. Step 2: Convert to fraction form
    930.43/1,282.56 = 635.20/x
  3. Step 3: Cross multiply
    930.43x = 1,282.56 × 635.20
  4. Step 4: Simplify right side
    930.43x = 814,682.11
  5. Step 5: Solve for x
    x = 814,682.11/930.43
  6. Step 6: Final answer
    x = 875.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.