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Finding the Fourth Proportional to 746.52, 1,120.35 and 376.70

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Solution

The fourth proportional to 746.52, 1,120.35 and 376.70 is: 565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.52 : 1,120.35 = 376.70 : x
  2. Step 2: Convert to fraction form
    746.52/1,120.35 = 376.70/x
  3. Step 3: Cross multiply
    746.52x = 1,120.35 × 376.70
  4. Step 4: Simplify right side
    746.52x = 422,035.85
  5. Step 5: Solve for x
    x = 422,035.85/746.52
  6. Step 6: Final answer
    x = 565.34

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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.