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Finding the Fourth Proportional to 866.39, 1,299.53 and 289.26

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Solution

The fourth proportional to 866.39, 1,299.53 and 289.26 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.39 : 1,299.53 = 289.26 : x
  2. Step 2: Convert to fraction form
    866.39/1,299.53 = 289.26/x
  3. Step 3: Cross multiply
    866.39x = 1,299.53 × 289.26
  4. Step 4: Simplify right side
    866.39x = 375,900.60
  5. Step 5: Solve for x
    x = 375,900.60/866.39
  6. Step 6: Final answer
    x = 433.87

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1.5x scale

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.