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Finding the Fourth Proportional to 861.44, 1,293.28 and 552.48

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Solution

The fourth proportional to 861.44, 1,293.28 and 552.48 is: 829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.44 : 1,293.28 = 552.48 : x
  2. Step 2: Convert to fraction form
    861.44/1,293.28 = 552.48/x
  3. Step 3: Cross multiply
    861.44x = 1,293.28 × 552.48
  4. Step 4: Simplify right side
    861.44x = 714,511.33
  5. Step 5: Solve for x
    x = 714,511.33/861.44
  6. Step 6: Final answer
    x = 829.44

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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.