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Finding the Fourth Proportional to 1,153.86, 1,731.05 and 423.43

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Solution

The fourth proportional to 1,153.86, 1,731.05 and 423.43 is: 635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.86 : 1,731.05 = 423.43 : x
  2. Step 2: Convert to fraction form
    1,153.86/1,731.05 = 423.43/x
  3. Step 3: Cross multiply
    1,153.86x = 1,731.05 × 423.43
  4. Step 4: Simplify right side
    1,153.86x = 732,978.50
  5. Step 5: Solve for x
    x = 732,978.50/1,153.86
  6. Step 6: Final answer
    x = 635.24

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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.