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Finding the Fourth Proportional to 1,164.94, 1,755.39 and 964.02

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Solution

The fourth proportional to 1,164.94, 1,755.39 and 964.02 is: 1,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.94 : 1,755.39 = 964.02 : x
  2. Step 2: Convert to fraction form
    1,164.94/1,755.39 = 964.02/x
  3. Step 3: Cross multiply
    1,164.94x = 1,755.39 × 964.02
  4. Step 4: Simplify right side
    1,164.94x = 1,692,231.07
  5. Step 5: Solve for x
    x = 1,692,231.07/1,164.94
  6. Step 6: Final answer
    x = 1,452.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.