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Finding the Fourth Proportional to 736.59, 1,105.32 and 325.77

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Solution

The fourth proportional to 736.59, 1,105.32 and 325.77 is: 488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.59 : 1,105.32 = 325.77 : x
  2. Step 2: Convert to fraction form
    736.59/1,105.32 = 325.77/x
  3. Step 3: Cross multiply
    736.59x = 1,105.32 × 325.77
  4. Step 4: Simplify right side
    736.59x = 360,082.47
  5. Step 5: Solve for x
    x = 360,082.47/736.59
  6. Step 6: Final answer
    x = 488.85

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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.