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Finding the Fourth Proportional to 729.24, 1,094.56 and 339.48

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Solution

The fourth proportional to 729.24, 1,094.56 and 339.48 is: 509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.24 : 1,094.56 = 339.48 : x
  2. Step 2: Convert to fraction form
    729.24/1,094.56 = 339.48/x
  3. Step 3: Cross multiply
    729.24x = 1,094.56 × 339.48
  4. Step 4: Simplify right side
    729.24x = 371,581.23
  5. Step 5: Solve for x
    x = 371,581.23/729.24
  6. Step 6: Final answer
    x = 509.55

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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.