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Finding the Fourth Proportional to 816.45, 1,224.67 and 425.49

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Solution

The fourth proportional to 816.45, 1,224.67 and 425.49 is: 638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.45 : 1,224.67 = 425.49 : x
  2. Step 2: Convert to fraction form
    816.45/1,224.67 = 425.49/x
  3. Step 3: Cross multiply
    816.45x = 1,224.67 × 425.49
  4. Step 4: Simplify right side
    816.45x = 521,084.84
  5. Step 5: Solve for x
    x = 521,084.84/816.45
  6. Step 6: Final answer
    x = 638.23

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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.