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Finding the Fourth Proportional to 1,159.97, 1,739.41 and 673.16

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Solution

The fourth proportional to 1,159.97, 1,739.41 and 673.16 is: 1,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.97 : 1,739.41 = 673.16 : x
  2. Step 2: Convert to fraction form
    1,159.97/1,739.41 = 673.16/x
  3. Step 3: Cross multiply
    1,159.97x = 1,739.41 × 673.16
  4. Step 4: Simplify right side
    1,159.97x = 1,170,901.24
  5. Step 5: Solve for x
    x = 1,170,901.24/1,159.97
  6. Step 6: Final answer
    x = 1,009.42

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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.