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Finding the Fourth Proportional to 930.20, 1,395.48 and 735.80

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Solution

The fourth proportional to 930.20, 1,395.48 and 735.80 is: 1,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.20 : 1,395.48 = 735.80 : x
  2. Step 2: Convert to fraction form
    930.20/1,395.48 = 735.80/x
  3. Step 3: Cross multiply
    930.20x = 1,395.48 × 735.80
  4. Step 4: Simplify right side
    930.20x = 1,026,794.18
  5. Step 5: Solve for x
    x = 1,026,794.18/930.20
  6. Step 6: Final answer
    x = 1,103.84

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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.