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Finding the Fourth Proportional to 794.59, 1,192.52 and 563.71

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Solution

The fourth proportional to 794.59, 1,192.52 and 563.71 is: 846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.59 : 1,192.52 = 563.71 : x
  2. Step 2: Convert to fraction form
    794.59/1,192.52 = 563.71/x
  3. Step 3: Cross multiply
    794.59x = 1,192.52 × 563.71
  4. Step 4: Simplify right side
    794.59x = 672,235.45
  5. Step 5: Solve for x
    x = 672,235.45/794.59
  6. Step 6: Final answer
    x = 846.02

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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.