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Finding the Fourth Proportional to 930.08, 1,283.74 and 599.30

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Solution

The fourth proportional to 930.08, 1,283.74 and 599.30 is: 827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.08 : 1,283.74 = 599.30 : x
  2. Step 2: Convert to fraction form
    930.08/1,283.74 = 599.30/x
  3. Step 3: Cross multiply
    930.08x = 1,283.74 × 599.30
  4. Step 4: Simplify right side
    930.08x = 769,345.38
  5. Step 5: Solve for x
    x = 769,345.38/930.08
  6. Step 6: Final answer
    x = 827.18

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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.