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Finding the Fourth Proportional to 1,169.36, 1,753.01 and 438.43

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Solution

The fourth proportional to 1,169.36, 1,753.01 and 438.43 is: 657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.36 : 1,753.01 = 438.43 : x
  2. Step 2: Convert to fraction form
    1,169.36/1,753.01 = 438.43/x
  3. Step 3: Cross multiply
    1,169.36x = 1,753.01 × 438.43
  4. Step 4: Simplify right side
    1,169.36x = 768,561.22
  5. Step 5: Solve for x
    x = 768,561.22/1,169.36
  6. Step 6: Final answer
    x = 657.25

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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.