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Finding the Fourth Proportional to 930.32, 1,283.81 and 599.08

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Solution

The fourth proportional to 930.32, 1,283.81 and 599.08 is: 826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.32 : 1,283.81 = 599.08 : x
  2. Step 2: Convert to fraction form
    930.32/1,283.81 = 599.08/x
  3. Step 3: Cross multiply
    930.32x = 1,283.81 × 599.08
  4. Step 4: Simplify right side
    930.32x = 769,104.89
  5. Step 5: Solve for x
    x = 769,104.89/930.32
  6. Step 6: Final answer
    x = 826.71

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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.