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Finding the Fourth Proportional to 746.36, 1,122.07 and 610.39

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Solution

The fourth proportional to 746.36, 1,122.07 and 610.39 is: 917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.36 : 1,122.07 = 610.39 : x
  2. Step 2: Convert to fraction form
    746.36/1,122.07 = 610.39/x
  3. Step 3: Cross multiply
    746.36x = 1,122.07 × 610.39
  4. Step 4: Simplify right side
    746.36x = 684,900.31
  5. Step 5: Solve for x
    x = 684,900.31/746.36
  6. Step 6: Final answer
    x = 917.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.