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Finding the Fourth Proportional to 1,174.10, 1,763.85 and 828.23

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Solution

The fourth proportional to 1,174.10, 1,763.85 and 828.23 is: 1,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.10 : 1,763.85 = 828.23 : x
  2. Step 2: Convert to fraction form
    1,174.10/1,763.85 = 828.23/x
  3. Step 3: Cross multiply
    1,174.10x = 1,763.85 × 828.23
  4. Step 4: Simplify right side
    1,174.10x = 1,460,873.49
  5. Step 5: Solve for x
    x = 1,460,873.49/1,174.10
  6. Step 6: Final answer
    x = 1,244.25

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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.