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Finding the Fourth Proportional to 1,173.59, 1,619.27 and 731.33

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Solution

The fourth proportional to 1,173.59, 1,619.27 and 731.33 is: 1,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.59 : 1,619.27 = 731.33 : x
  2. Step 2: Convert to fraction form
    1,173.59/1,619.27 = 731.33/x
  3. Step 3: Cross multiply
    1,173.59x = 1,619.27 × 731.33
  4. Step 4: Simplify right side
    1,173.59x = 1,184,212.63
  5. Step 5: Solve for x
    x = 1,184,212.63/1,173.59
  6. Step 6: Final answer
    x = 1,009.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.