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Finding the Fourth Proportional to 736.86, 1,103.74 and 347.19

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Solution

The fourth proportional to 736.86, 1,103.74 and 347.19 is: 520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.86 : 1,103.74 = 347.19 : x
  2. Step 2: Convert to fraction form
    736.86/1,103.74 = 347.19/x
  3. Step 3: Cross multiply
    736.86x = 1,103.74 × 347.19
  4. Step 4: Simplify right side
    736.86x = 383,207.49
  5. Step 5: Solve for x
    x = 383,207.49/736.86
  6. Step 6: Final answer
    x = 520.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.