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Finding the Fourth Proportional to 865.45, 1,297.77 and 426.43

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Solution

The fourth proportional to 865.45, 1,297.77 and 426.43 is: 639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.45 : 1,297.77 = 426.43 : x
  2. Step 2: Convert to fraction form
    865.45/1,297.77 = 426.43/x
  3. Step 3: Cross multiply
    865.45x = 1,297.77 × 426.43
  4. Step 4: Simplify right side
    865.45x = 553,408.06
  5. Step 5: Solve for x
    x = 553,408.06/865.45
  6. Step 6: Final answer
    x = 639.45

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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.