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Finding the Fourth Proportional to 866.50, 1,300.74 and 456.46

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Solution

The fourth proportional to 866.50, 1,300.74 and 456.46 is: 685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.50 : 1,300.74 = 456.46 : x
  2. Step 2: Convert to fraction form
    866.50/1,300.74 = 456.46/x
  3. Step 3: Cross multiply
    866.50x = 1,300.74 × 456.46
  4. Step 4: Simplify right side
    866.50x = 593,735.78
  5. Step 5: Solve for x
    x = 593,735.78/866.50
  6. Step 6: Final answer
    x = 685.21

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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.