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Finding the Fourth Proportional to 866.16, 1,298.15 and 433.44

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Solution

The fourth proportional to 866.16, 1,298.15 and 433.44 is: 649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.16 : 1,298.15 = 433.44 : x
  2. Step 2: Convert to fraction form
    866.16/1,298.15 = 433.44/x
  3. Step 3: Cross multiply
    866.16x = 1,298.15 × 433.44
  4. Step 4: Simplify right side
    866.16x = 562,670.14
  5. Step 5: Solve for x
    x = 562,670.14/866.16
  6. Step 6: Final answer
    x = 649.61

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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.