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Finding the Fourth Proportional to 736.41, 1,103.07 and 442.98

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Solution

The fourth proportional to 736.41, 1,103.07 and 442.98 is: 663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.41 : 1,103.07 = 442.98 : x
  2. Step 2: Convert to fraction form
    736.41/1,103.07 = 442.98/x
  3. Step 3: Cross multiply
    736.41x = 1,103.07 × 442.98
  4. Step 4: Simplify right side
    736.41x = 488,637.95
  5. Step 5: Solve for x
    x = 488,637.95/736.41
  6. Step 6: Final answer
    x = 663.54

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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.