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Finding the Fourth Proportional to 796.40, 1,194.35 and 552.19

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Solution

The fourth proportional to 796.40, 1,194.35 and 552.19 is: 828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.40 : 1,194.35 = 552.19 : x
  2. Step 2: Convert to fraction form
    796.40/1,194.35 = 552.19/x
  3. Step 3: Cross multiply
    796.40x = 1,194.35 × 552.19
  4. Step 4: Simplify right side
    796.40x = 659,502.38
  5. Step 5: Solve for x
    x = 659,502.38/796.40
  6. Step 6: Final answer
    x = 828.10

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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.