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Finding the Fourth Proportional to 1,169.50, 1,745.18 and 1,013.98

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Solution

The fourth proportional to 1,169.50, 1,745.18 and 1,013.98 is: 1,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.50 : 1,745.18 = 1,013.98 : x
  2. Step 2: Convert to fraction form
    1,169.50/1,745.18 = 1,013.98/x
  3. Step 3: Cross multiply
    1,169.50x = 1,745.18 × 1,013.98
  4. Step 4: Simplify right side
    1,169.50x = 1,769,577.62
  5. Step 5: Solve for x
    x = 1,769,577.62/1,169.50
  6. Step 6: Final answer
    x = 1,513.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.