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Finding the Fourth Proportional to 1,173.44, 1,619.30 and 649.46

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Solution

The fourth proportional to 1,173.44, 1,619.30 and 649.46 is: 896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.44 : 1,619.30 = 649.46 : x
  2. Step 2: Convert to fraction form
    1,173.44/1,619.30 = 649.46/x
  3. Step 3: Cross multiply
    1,173.44x = 1,619.30 × 649.46
  4. Step 4: Simplify right side
    1,173.44x = 1,051,670.58
  5. Step 5: Solve for x
    x = 1,051,670.58/1,173.44
  6. Step 6: Final answer
    x = 896.23

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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.