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Finding the Fourth Proportional to 1,164.51, 1,743.30 and 773.15

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Solution

The fourth proportional to 1,164.51, 1,743.30 and 773.15 is: 1,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.51 : 1,743.30 = 773.15 : x
  2. Step 2: Convert to fraction form
    1,164.51/1,743.30 = 773.15/x
  3. Step 3: Cross multiply
    1,164.51x = 1,743.30 × 773.15
  4. Step 4: Simplify right side
    1,164.51x = 1,347,836.21
  5. Step 5: Solve for x
    x = 1,347,836.21/1,164.51
  6. Step 6: Final answer
    x = 1,157.43

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Why These Related Problems?

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