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Finding the Fourth Proportional to 1,154.37, 1,731.57 and 423.48

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Solution

The fourth proportional to 1,154.37, 1,731.57 and 423.48 is: 635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.37 : 1,731.57 = 423.48 : x
  2. Step 2: Convert to fraction form
    1,154.37/1,731.57 = 423.48/x
  3. Step 3: Cross multiply
    1,154.37x = 1,731.57 × 423.48
  4. Step 4: Simplify right side
    1,154.37x = 733,285.26
  5. Step 5: Solve for x
    x = 733,285.26/1,154.37
  6. Step 6: Final answer
    x = 635.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.