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Finding the Fourth Proportional to 932.70, 1,399.60 and 543.44

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Solution

The fourth proportional to 932.70, 1,399.60 and 543.44 is: 815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.70 : 1,399.60 = 543.44 : x
  2. Step 2: Convert to fraction form
    932.70/1,399.60 = 543.44/x
  3. Step 3: Cross multiply
    932.70x = 1,399.60 × 543.44
  4. Step 4: Simplify right side
    932.70x = 760,598.62
  5. Step 5: Solve for x
    x = 760,598.62/932.70
  6. Step 6: Final answer
    x = 815.48

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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.