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Finding the Fourth Proportional to 930.70, 1,284.79 and 599.31

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Solution

The fourth proportional to 930.70, 1,284.79 and 599.31 is: 827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.70 : 1,284.79 = 599.31 : x
  2. Step 2: Convert to fraction form
    930.70/1,284.79 = 599.31/x
  3. Step 3: Cross multiply
    930.70x = 1,284.79 × 599.31
  4. Step 4: Simplify right side
    930.70x = 769,987.49
  5. Step 5: Solve for x
    x = 769,987.49/930.70
  6. Step 6: Final answer
    x = 827.32

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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.