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Finding the Fourth Proportional to 736.47, 1,105.15 and 297.82

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Solution

The fourth proportional to 736.47, 1,105.15 and 297.82 is: 446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.47 : 1,105.15 = 297.82 : x
  2. Step 2: Convert to fraction form
    736.47/1,105.15 = 297.82/x
  3. Step 3: Cross multiply
    736.47x = 1,105.15 × 297.82
  4. Step 4: Simplify right side
    736.47x = 329,135.77
  5. Step 5: Solve for x
    x = 329,135.77/736.47
  6. Step 6: Final answer
    x = 446.91

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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.