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Finding the Fourth Proportional to 1,173.64, 1,759.40 and 443.24

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Solution

The fourth proportional to 1,173.64, 1,759.40 and 443.24 is: 664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.64 : 1,759.40 = 443.24 : x
  2. Step 2: Convert to fraction form
    1,173.64/1,759.40 = 443.24/x
  3. Step 3: Cross multiply
    1,173.64x = 1,759.40 × 443.24
  4. Step 4: Simplify right side
    1,173.64x = 779,836.46
  5. Step 5: Solve for x
    x = 779,836.46/1,173.64
  6. Step 6: Final answer
    x = 664.46

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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.