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Finding the Fourth Proportional to 743.53, 1,115.52 and 469.24

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Solution

The fourth proportional to 743.53, 1,115.52 and 469.24 is: 704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.53 : 1,115.52 = 469.24 : x
  2. Step 2: Convert to fraction form
    743.53/1,115.52 = 469.24/x
  3. Step 3: Cross multiply
    743.53x = 1,115.52 × 469.24
  4. Step 4: Simplify right side
    743.53x = 523,450.97
  5. Step 5: Solve for x
    x = 523,450.97/743.53
  6. Step 6: Final answer
    x = 704.01

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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.