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Finding the Fourth Proportional to 1,175.11, 1,762.62 and 969.37

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Solution

The fourth proportional to 1,175.11, 1,762.62 and 969.37 is: 1,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.11 : 1,762.62 = 969.37 : x
  2. Step 2: Convert to fraction form
    1,175.11/1,762.62 = 969.37/x
  3. Step 3: Cross multiply
    1,175.11x = 1,762.62 × 969.37
  4. Step 4: Simplify right side
    1,175.11x = 1,708,630.95
  5. Step 5: Solve for x
    x = 1,708,630.95/1,175.11
  6. Step 6: Final answer
    x = 1,454.02

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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.