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Finding the Fourth Proportional to 865.21, 1,193.99 and 472.23

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Solution

The fourth proportional to 865.21, 1,193.99 and 472.23 is: 651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.21 : 1,193.99 = 472.23 : x
  2. Step 2: Convert to fraction form
    865.21/1,193.99 = 472.23/x
  3. Step 3: Cross multiply
    865.21x = 1,193.99 × 472.23
  4. Step 4: Simplify right side
    865.21x = 563,829.57
  5. Step 5: Solve for x
    x = 563,829.57/865.21
  6. Step 6: Final answer
    x = 651.67

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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.