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Finding the Fourth Proportional to 1,153.99, 1,729.89 and 423.07

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Solution

The fourth proportional to 1,153.99, 1,729.89 and 423.07 is: 634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.99 : 1,729.89 = 423.07 : x
  2. Step 2: Convert to fraction form
    1,153.99/1,729.89 = 423.07/x
  3. Step 3: Cross multiply
    1,153.99x = 1,729.89 × 423.07
  4. Step 4: Simplify right side
    1,153.99x = 731,864.56
  5. Step 5: Solve for x
    x = 731,864.56/1,153.99
  6. Step 6: Final answer
    x = 634.20

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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.