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Finding the Fourth Proportional to 1,153.90, 1,730.99 and 423.31

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Solution

The fourth proportional to 1,153.90, 1,730.99 and 423.31 is: 635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.90 : 1,730.99 = 423.31 : x
  2. Step 2: Convert to fraction form
    1,153.90/1,730.99 = 423.31/x
  3. Step 3: Cross multiply
    1,153.90x = 1,730.99 × 423.31
  4. Step 4: Simplify right side
    1,153.90x = 732,745.38
  5. Step 5: Solve for x
    x = 732,745.38/1,153.90
  6. Step 6: Final answer
    x = 635.02

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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.