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Finding the Fourth Proportional to 1,165.23, 1,744.23 and 871.00

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Solution

The fourth proportional to 1,165.23, 1,744.23 and 871.00 is: 1,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.23 : 1,744.23 = 871.00 : x
  2. Step 2: Convert to fraction form
    1,165.23/1,744.23 = 871.00/x
  3. Step 3: Cross multiply
    1,165.23x = 1,744.23 × 871.00
  4. Step 4: Simplify right side
    1,165.23x = 1,519,211.25
  5. Step 5: Solve for x
    x = 1,519,211.25/1,165.23
  6. Step 6: Final answer
    x = 1,303.79

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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.