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Finding the Fourth Proportional to 1,162.37, 1,741.55 and 968.63

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Solution

The fourth proportional to 1,162.37, 1,741.55 and 968.63 is: 1,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.37 : 1,741.55 = 968.63 : x
  2. Step 2: Convert to fraction form
    1,162.37/1,741.55 = 968.63/x
  3. Step 3: Cross multiply
    1,162.37x = 1,741.55 × 968.63
  4. Step 4: Simplify right side
    1,162.37x = 1,686,904.03
  5. Step 5: Solve for x
    x = 1,686,904.03/1,162.37
  6. Step 6: Final answer
    x = 1,451.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.