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Finding the Fourth Proportional to 865.56, 1,297.17 and 433.02

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Solution

The fourth proportional to 865.56, 1,297.17 and 433.02 is: 648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.56 : 1,297.17 = 433.02 : x
  2. Step 2: Convert to fraction form
    865.56/1,297.17 = 433.02/x
  3. Step 3: Cross multiply
    865.56x = 1,297.17 × 433.02
  4. Step 4: Simplify right side
    865.56x = 561,700.55
  5. Step 5: Solve for x
    x = 561,700.55/865.56
  6. Step 6: Final answer
    x = 648.94

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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.