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Finding the Fourth Proportional to 930.08, 1,393.44 and 496.24

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Solution

The fourth proportional to 930.08, 1,393.44 and 496.24 is: 743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.08 : 1,393.44 = 496.24 : x
  2. Step 2: Convert to fraction form
    930.08/1,393.44 = 496.24/x
  3. Step 3: Cross multiply
    930.08x = 1,393.44 × 496.24
  4. Step 4: Simplify right side
    930.08x = 691,480.67
  5. Step 5: Solve for x
    x = 691,480.67/930.08
  6. Step 6: Final answer
    x = 743.46

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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.