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Finding the Fourth Proportional to 930.10, 1,393.08 and 518.80

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Solution

The fourth proportional to 930.10, 1,393.08 and 518.80 is: 777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.10 : 1,393.08 = 518.80 : x
  2. Step 2: Convert to fraction form
    930.10/1,393.08 = 518.80/x
  3. Step 3: Cross multiply
    930.10x = 1,393.08 × 518.80
  4. Step 4: Simplify right side
    930.10x = 722,729.90
  5. Step 5: Solve for x
    x = 722,729.90/930.10
  6. Step 6: Final answer
    x = 777.05

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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.