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Finding the Fourth Proportional to 930.98, 1,393.92 and 713.54

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Solution

The fourth proportional to 930.98, 1,393.92 and 713.54 is: 1,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.98 : 1,393.92 = 713.54 : x
  2. Step 2: Convert to fraction form
    930.98/1,393.92 = 713.54/x
  3. Step 3: Cross multiply
    930.98x = 1,393.92 × 713.54
  4. Step 4: Simplify right side
    930.98x = 994,617.68
  5. Step 5: Solve for x
    x = 994,617.68/930.98
  6. Step 6: Final answer
    x = 1,068.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.