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Finding the Fourth Proportional to 1,164.26, 1,744.68 and 614.76

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Solution

The fourth proportional to 1,164.26, 1,744.68 and 614.76 is: 921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.26 : 1,744.68 = 614.76 : x
  2. Step 2: Convert to fraction form
    1,164.26/1,744.68 = 614.76/x
  3. Step 3: Cross multiply
    1,164.26x = 1,744.68 × 614.76
  4. Step 4: Simplify right side
    1,164.26x = 1,072,559.48
  5. Step 5: Solve for x
    x = 1,072,559.48/1,164.26
  6. Step 6: Final answer
    x = 921.24

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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.