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Finding the Fourth Proportional to 1,503.35, 2,255.83 and 733.85

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Solution

The fourth proportional to 1,503.35, 2,255.83 and 733.85 is: 1,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.35 : 2,255.83 = 733.85 : x
  2. Step 2: Convert to fraction form
    1,503.35/2,255.83 = 733.85/x
  3. Step 3: Cross multiply
    1,503.35x = 2,255.83 × 733.85
  4. Step 4: Simplify right side
    1,503.35x = 1,655,440.85
  5. Step 5: Solve for x
    x = 1,655,440.85/1,503.35
  6. Step 6: Final answer
    x = 1,101.17

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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.