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Finding the Fourth Proportional to 866.01, 1,299.02 and 216.74

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Solution

The fourth proportional to 866.01, 1,299.02 and 216.74 is: 325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.01 : 1,299.02 = 216.74 : x
  2. Step 2: Convert to fraction form
    866.01/1,299.02 = 216.74/x
  3. Step 3: Cross multiply
    866.01x = 1,299.02 × 216.74
  4. Step 4: Simplify right side
    866.01x = 281,548.51
  5. Step 5: Solve for x
    x = 281,548.51/866.01
  6. Step 6: Final answer
    x = 325.11

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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.