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Finding the Fourth Proportional to 930.35, 1,283.63 and 598.97

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Solution

The fourth proportional to 930.35, 1,283.63 and 598.97 is: 826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.35 : 1,283.63 = 598.97 : x
  2. Step 2: Convert to fraction form
    930.35/1,283.63 = 598.97/x
  3. Step 3: Cross multiply
    930.35x = 1,283.63 × 598.97
  4. Step 4: Simplify right side
    930.35x = 768,860.57
  5. Step 5: Solve for x
    x = 768,860.57/930.35
  6. Step 6: Final answer
    x = 826.42

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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.