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Finding the Fourth Proportional to 1,165.04, 1,745.40 and 505.44

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Solution

The fourth proportional to 1,165.04, 1,745.40 and 505.44 is: 757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.04 : 1,745.40 = 505.44 : x
  2. Step 2: Convert to fraction form
    1,165.04/1,745.40 = 505.44/x
  3. Step 3: Cross multiply
    1,165.04x = 1,745.40 × 505.44
  4. Step 4: Simplify right side
    1,165.04x = 882,194.98
  5. Step 5: Solve for x
    x = 882,194.98/1,165.04
  6. Step 6: Final answer
    x = 757.22

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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.