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Finding the Fourth Proportional to 1,164.15, 1,744.90 and 643.88

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Solution

The fourth proportional to 1,164.15, 1,744.90 and 643.88 is: 965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.15 : 1,744.90 = 643.88 : x
  2. Step 2: Convert to fraction form
    1,164.15/1,744.90 = 643.88/x
  3. Step 3: Cross multiply
    1,164.15x = 1,744.90 × 643.88
  4. Step 4: Simplify right side
    1,164.15x = 1,123,513.29
  5. Step 5: Solve for x
    x = 1,123,513.29/1,164.15
  6. Step 6: Final answer
    x = 965.09

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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.