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Finding the Fourth Proportional to 865.45, 1,193.90 and 533.67

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Solution

The fourth proportional to 865.45, 1,193.90 and 533.67 is: 736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.45 : 1,193.90 = 533.67 : x
  2. Step 2: Convert to fraction form
    865.45/1,193.90 = 533.67/x
  3. Step 3: Cross multiply
    865.45x = 1,193.90 × 533.67
  4. Step 4: Simplify right side
    865.45x = 637,148.61
  5. Step 5: Solve for x
    x = 637,148.61/865.45
  6. Step 6: Final answer
    x = 736.20

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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.