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Finding the Fourth Proportional to 842.59, 1,162.65 and 563.41

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Solution

The fourth proportional to 842.59, 1,162.65 and 563.41 is: 777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.59 : 1,162.65 = 563.41 : x
  2. Step 2: Convert to fraction form
    842.59/1,162.65 = 563.41/x
  3. Step 3: Cross multiply
    842.59x = 1,162.65 × 563.41
  4. Step 4: Simplify right side
    842.59x = 655,048.64
  5. Step 5: Solve for x
    x = 655,048.64/842.59
  6. Step 6: Final answer
    x = 777.42

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