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Finding the Fourth Proportional to 746.98, 1,120.50 and 357.02

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Solution

The fourth proportional to 746.98, 1,120.50 and 357.02 is: 535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.98 : 1,120.50 = 357.02 : x
  2. Step 2: Convert to fraction form
    746.98/1,120.50 = 357.02/x
  3. Step 3: Cross multiply
    746.98x = 1,120.50 × 357.02
  4. Step 4: Simplify right side
    746.98x = 400,040.91
  5. Step 5: Solve for x
    x = 400,040.91/746.98
  6. Step 6: Final answer
    x = 535.54

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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.