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Finding the Fourth Proportional to 736.62, 1,105.13 and 346.60

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Solution

The fourth proportional to 736.62, 1,105.13 and 346.60 is: 519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.62 : 1,105.13 = 346.60 : x
  2. Step 2: Convert to fraction form
    736.62/1,105.13 = 346.60/x
  3. Step 3: Cross multiply
    736.62x = 1,105.13 × 346.60
  4. Step 4: Simplify right side
    736.62x = 383,038.06
  5. Step 5: Solve for x
    x = 383,038.06/736.62
  6. Step 6: Final answer
    x = 519.99

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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.