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Finding the Fourth Proportional to 736.53, 1,105.47 and 463.11

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Solution

The fourth proportional to 736.53, 1,105.47 and 463.11 is: 695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.53 : 1,105.47 = 463.11 : x
  2. Step 2: Convert to fraction form
    736.53/1,105.47 = 463.11/x
  3. Step 3: Cross multiply
    736.53x = 1,105.47 × 463.11
  4. Step 4: Simplify right side
    736.53x = 511,954.21
  5. Step 5: Solve for x
    x = 511,954.21/736.53
  6. Step 6: Final answer
    x = 695.09

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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.