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Finding the Fourth Proportional to 1,164.34, 1,754.47 and 963.34

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Solution

The fourth proportional to 1,164.34, 1,754.47 and 963.34 is: 1,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.34 : 1,754.47 = 963.34 : x
  2. Step 2: Convert to fraction form
    1,164.34/1,754.47 = 963.34/x
  3. Step 3: Cross multiply
    1,164.34x = 1,754.47 × 963.34
  4. Step 4: Simplify right side
    1,164.34x = 1,690,151.13
  5. Step 5: Solve for x
    x = 1,690,151.13/1,164.34
  6. Step 6: Final answer
    x = 1,451.60

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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.