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Finding the Fourth Proportional to 1,165.41, 1,607.31 and 850.32

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Solution

The fourth proportional to 1,165.41, 1,607.31 and 850.32 is: 1,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.41 : 1,607.31 = 850.32 : x
  2. Step 2: Convert to fraction form
    1,165.41/1,607.31 = 850.32/x
  3. Step 3: Cross multiply
    1,165.41x = 1,607.31 × 850.32
  4. Step 4: Simplify right side
    1,165.41x = 1,366,727.84
  5. Step 5: Solve for x
    x = 1,366,727.84/1,165.41
  6. Step 6: Final answer
    x = 1,172.74

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Why These Related Problems?

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