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Finding the Fourth Proportional to 1,153.31, 1,730.16 and 423.09

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Solution

The fourth proportional to 1,153.31, 1,730.16 and 423.09 is: 634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.31 : 1,730.16 = 423.09 : x
  2. Step 2: Convert to fraction form
    1,153.31/1,730.16 = 423.09/x
  3. Step 3: Cross multiply
    1,153.31x = 1,730.16 × 423.09
  4. Step 4: Simplify right side
    1,153.31x = 732,013.39
  5. Step 5: Solve for x
    x = 732,013.39/1,153.31
  6. Step 6: Final answer
    x = 634.71

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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.