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Finding the Fourth Proportional to 794.58, 1,193.70 and 564.03

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Solution

The fourth proportional to 794.58, 1,193.70 and 564.03 is: 847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.58 : 1,193.70 = 564.03 : x
  2. Step 2: Convert to fraction form
    794.58/1,193.70 = 564.03/x
  3. Step 3: Cross multiply
    794.58x = 1,193.70 × 564.03
  4. Step 4: Simplify right side
    794.58x = 673,282.61
  5. Step 5: Solve for x
    x = 673,282.61/794.58
  6. Step 6: Final answer
    x = 847.34

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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.