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Finding the Fourth Proportional to 1,173.51, 1,619.46 and 701.78

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Solution

The fourth proportional to 1,173.51, 1,619.46 and 701.78 is: 968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.51 : 1,619.46 = 701.78 : x
  2. Step 2: Convert to fraction form
    1,173.51/1,619.46 = 701.78/x
  3. Step 3: Cross multiply
    1,173.51x = 1,619.46 × 701.78
  4. Step 4: Simplify right side
    1,173.51x = 1,136,496.54
  5. Step 5: Solve for x
    x = 1,136,496.54/1,173.51
  6. Step 6: Final answer
    x = 968.46

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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.