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Finding the Fourth Proportional to 825.60, 1,139.49 and 563.97

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Solution

The fourth proportional to 825.60, 1,139.49 and 563.97 is: 778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.60 : 1,139.49 = 563.97 : x
  2. Step 2: Convert to fraction form
    825.60/1,139.49 = 563.97/x
  3. Step 3: Cross multiply
    825.60x = 1,139.49 × 563.97
  4. Step 4: Simplify right side
    825.60x = 642,638.18
  5. Step 5: Solve for x
    x = 642,638.18/825.60
  6. Step 6: Final answer
    x = 778.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.