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Finding the Fourth Proportional to 822.26, 1,228.58 and 793.56

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Solution

The fourth proportional to 822.26, 1,228.58 and 793.56 is: 1,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.26 : 1,228.58 = 793.56 : x
  2. Step 2: Convert to fraction form
    822.26/1,228.58 = 793.56/x
  3. Step 3: Cross multiply
    822.26x = 1,228.58 × 793.56
  4. Step 4: Simplify right side
    822.26x = 974,951.94
  5. Step 5: Solve for x
    x = 974,951.94/822.26
  6. Step 6: Final answer
    x = 1,185.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.