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Finding the Fourth Proportional to 735.85, 1,104.33 and 370.95

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Solution

The fourth proportional to 735.85, 1,104.33 and 370.95 is: 556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.85 : 1,104.33 = 370.95 : x
  2. Step 2: Convert to fraction form
    735.85/1,104.33 = 370.95/x
  3. Step 3: Cross multiply
    735.85x = 1,104.33 × 370.95
  4. Step 4: Simplify right side
    735.85x = 409,651.21
  5. Step 5: Solve for x
    x = 409,651.21/735.85
  6. Step 6: Final answer
    x = 556.70

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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.