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Finding the Fourth Proportional to 1,164.42, 1,745.64 and 505.80

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Solution

The fourth proportional to 1,164.42, 1,745.64 and 505.80 is: 758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.42 : 1,745.64 = 505.80 : x
  2. Step 2: Convert to fraction form
    1,164.42/1,745.64 = 505.80/x
  3. Step 3: Cross multiply
    1,164.42x = 1,745.64 × 505.80
  4. Step 4: Simplify right side
    1,164.42x = 882,935.98
  5. Step 5: Solve for x
    x = 882,935.98/1,164.42
  6. Step 6: Final answer
    x = 758.27

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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.