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Finding the Fourth Proportional to 1,153.72, 1,730.39 and 423.12

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Solution

The fourth proportional to 1,153.72, 1,730.39 and 423.12 is: 634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.72 : 1,730.39 = 423.12 : x
  2. Step 2: Convert to fraction form
    1,153.72/1,730.39 = 423.12/x
  3. Step 3: Cross multiply
    1,153.72x = 1,730.39 × 423.12
  4. Step 4: Simplify right side
    1,153.72x = 732,163.67
  5. Step 5: Solve for x
    x = 732,163.67/1,153.72
  6. Step 6: Final answer
    x = 634.61

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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.