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Finding the Fourth Proportional to 746.45, 1,119.68 and 356.36

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Solution

The fourth proportional to 746.45, 1,119.68 and 356.36 is: 534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.45 : 1,119.68 = 356.36 : x
  2. Step 2: Convert to fraction form
    746.45/1,119.68 = 356.36/x
  3. Step 3: Cross multiply
    746.45x = 1,119.68 × 356.36
  4. Step 4: Simplify right side
    746.45x = 399,001.78
  5. Step 5: Solve for x
    x = 399,001.78/746.45
  6. Step 6: Final answer
    x = 534.54

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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.