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Finding the Fourth Proportional to 743.93, 1,115.90 and 581.75

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Solution

The fourth proportional to 743.93, 1,115.90 and 581.75 is: 872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.93 : 1,115.90 = 581.75 : x
  2. Step 2: Convert to fraction form
    743.93/1,115.90 = 581.75/x
  3. Step 3: Cross multiply
    743.93x = 1,115.90 × 581.75
  4. Step 4: Simplify right side
    743.93x = 649,174.83
  5. Step 5: Solve for x
    x = 649,174.83/743.93
  6. Step 6: Final answer
    x = 872.63

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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.