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Finding the Fourth Proportional to 866.01, 1,297.93 and 433.29

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Solution

The fourth proportional to 866.01, 1,297.93 and 433.29 is: 649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.01 : 1,297.93 = 433.29 : x
  2. Step 2: Convert to fraction form
    866.01/1,297.93 = 433.29/x
  3. Step 3: Cross multiply
    866.01x = 1,297.93 × 433.29
  4. Step 4: Simplify right side
    866.01x = 562,371.43
  5. Step 5: Solve for x
    x = 562,371.43/866.01
  6. Step 6: Final answer
    x = 649.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.