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Finding the Fourth Proportional to 1,168.44, 1,752.64 and 438.36

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Solution

The fourth proportional to 1,168.44, 1,752.64 and 438.36 is: 657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.44 : 1,752.64 = 438.36 : x
  2. Step 2: Convert to fraction form
    1,168.44/1,752.64 = 438.36/x
  3. Step 3: Cross multiply
    1,168.44x = 1,752.64 × 438.36
  4. Step 4: Simplify right side
    1,168.44x = 768,287.27
  5. Step 5: Solve for x
    x = 768,287.27/1,168.44
  6. Step 6: Final answer
    x = 657.53

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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.