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Finding the Fourth Proportional to 746.56, 1,120 and 335.60

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Solution

The fourth proportional to 746.56, 1,120 and 335.60 is: 503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.56 : 1,120 = 335.60 : x
  2. Step 2: Convert to fraction form
    746.56/1,120 = 335.60/x
  3. Step 3: Cross multiply
    746.56x = 1,120 × 335.60
  4. Step 4: Simplify right side
    746.56x = 375,872
  5. Step 5: Solve for x
    x = 375,872/746.56
  6. Step 6: Final answer
    x = 503.47

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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.