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Finding the Fourth Proportional to 746.68, 1,120.92 and 610.60

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Solution

The fourth proportional to 746.68, 1,120.92 and 610.60 is: 916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.68 : 1,120.92 = 610.60 : x
  2. Step 2: Convert to fraction form
    746.68/1,120.92 = 610.60/x
  3. Step 3: Cross multiply
    746.68x = 1,120.92 × 610.60
  4. Step 4: Simplify right side
    746.68x = 684,433.75
  5. Step 5: Solve for x
    x = 684,433.75/746.68
  6. Step 6: Final answer
    x = 916.64

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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.