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Finding the Fourth Proportional to 1,153.34, 1,730.49 and 422.99

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Solution

The fourth proportional to 1,153.34, 1,730.49 and 422.99 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.34 : 1,730.49 = 422.99 : x
  2. Step 2: Convert to fraction form
    1,153.34/1,730.49 = 422.99/x
  3. Step 3: Cross multiply
    1,153.34x = 1,730.49 × 422.99
  4. Step 4: Simplify right side
    1,153.34x = 731,979.97
  5. Step 5: Solve for x
    x = 731,979.97/1,153.34
  6. Step 6: Final answer
    x = 634.66

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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.