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Finding the Fourth Proportional to 794.70, 1,193.87 and 564.16

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Solution

The fourth proportional to 794.70, 1,193.87 and 564.16 is: 847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.70 : 1,193.87 = 564.16 : x
  2. Step 2: Convert to fraction form
    794.70/1,193.87 = 564.16/x
  3. Step 3: Cross multiply
    794.70x = 1,193.87 × 564.16
  4. Step 4: Simplify right side
    794.70x = 673,533.70
  5. Step 5: Solve for x
    x = 673,533.70/794.70
  6. Step 6: Final answer
    x = 847.53

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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.