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Finding the Fourth Proportional to 866, 1,298.32 and 433.04

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Solution

The fourth proportional to 866, 1,298.32 and 433.04 is: 649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    866 : 1,298.32 = 433.04 : x
  2. Step 2: Convert to fraction form
    866/1,298.32 = 433.04/x
  3. Step 3: Cross multiply
    866x = 1,298.32 × 433.04
  4. Step 4: Simplify right side
    866x = 562,224.49
  5. Step 5: Solve for x
    x = 562,224.49/866
  6. Step 6: Final answer
    x = 649.22

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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.