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Finding the Fourth Proportional to 866.81, 1,300.22 and 289.69

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Solution

The fourth proportional to 866.81, 1,300.22 and 289.69 is: 434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.81 : 1,300.22 = 289.69 : x
  2. Step 2: Convert to fraction form
    866.81/1,300.22 = 289.69/x
  3. Step 3: Cross multiply
    866.81x = 1,300.22 × 289.69
  4. Step 4: Simplify right side
    866.81x = 376,657.12
  5. Step 5: Solve for x
    x = 376,657.12/866.81
  6. Step 6: Final answer
    x = 434.53

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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.