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Finding the Fourth Proportional to 1,013.57, 1,518.96 and 733.70

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Solution

The fourth proportional to 1,013.57, 1,518.96 and 733.70 is: 1,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.57 : 1,518.96 = 733.70 : x
  2. Step 2: Convert to fraction form
    1,013.57/1,518.96 = 733.70/x
  3. Step 3: Cross multiply
    1,013.57x = 1,518.96 × 733.70
  4. Step 4: Simplify right side
    1,013.57x = 1,114,460.95
  5. Step 5: Solve for x
    x = 1,114,460.95/1,013.57
  6. Step 6: Final answer
    x = 1,099.54

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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.