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Finding the Fourth Proportional to 736.34, 1,103.76 and 462.62

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Solution

The fourth proportional to 736.34, 1,103.76 and 462.62 is: 693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.34 : 1,103.76 = 462.62 : x
  2. Step 2: Convert to fraction form
    736.34/1,103.76 = 462.62/x
  3. Step 3: Cross multiply
    736.34x = 1,103.76 × 462.62
  4. Step 4: Simplify right side
    736.34x = 510,621.45
  5. Step 5: Solve for x
    x = 510,621.45/736.34
  6. Step 6: Final answer
    x = 693.46

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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.