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Finding the Fourth Proportional to 865.91, 1,297.78 and 433.19

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Solution

The fourth proportional to 865.91, 1,297.78 and 433.19 is: 649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.91 : 1,297.78 = 433.19 : x
  2. Step 2: Convert to fraction form
    865.91/1,297.78 = 433.19/x
  3. Step 3: Cross multiply
    865.91x = 1,297.78 × 433.19
  4. Step 4: Simplify right side
    865.91x = 562,185.32
  5. Step 5: Solve for x
    x = 562,185.32/865.91
  6. Step 6: Final answer
    x = 649.24

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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.