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Finding the Fourth Proportional to 1,171.46, 1,759.91 and 1,007.44

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Solution

The fourth proportional to 1,171.46, 1,759.91 and 1,007.44 is: 1,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.46 : 1,759.91 = 1,007.44 : x
  2. Step 2: Convert to fraction form
    1,171.46/1,759.91 = 1,007.44/x
  3. Step 3: Cross multiply
    1,171.46x = 1,759.91 × 1,007.44
  4. Step 4: Simplify right side
    1,171.46x = 1,772,994.29
  5. Step 5: Solve for x
    x = 1,772,994.29/1,171.46
  6. Step 6: Final answer
    x = 1,513.49

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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.