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Finding the Fourth Proportional to 797.52, 1,194.42 and 554.22

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Solution

The fourth proportional to 797.52, 1,194.42 and 554.22 is: 830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.52 : 1,194.42 = 554.22 : x
  2. Step 2: Convert to fraction form
    797.52/1,194.42 = 554.22/x
  3. Step 3: Cross multiply
    797.52x = 1,194.42 × 554.22
  4. Step 4: Simplify right side
    797.52x = 661,971.45
  5. Step 5: Solve for x
    x = 661,971.45/797.52
  6. Step 6: Final answer
    x = 830.04

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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.