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Finding the Fourth Proportional to 746.67, 1,120.06 and 584.07

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Solution

The fourth proportional to 746.67, 1,120.06 and 584.07 is: 876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.67 : 1,120.06 = 584.07 : x
  2. Step 2: Convert to fraction form
    746.67/1,120.06 = 584.07/x
  3. Step 3: Cross multiply
    746.67x = 1,120.06 × 584.07
  4. Step 4: Simplify right side
    746.67x = 654,189.97
  5. Step 5: Solve for x
    x = 654,189.97/746.67
  6. Step 6: Final answer
    x = 876.14

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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.