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Finding the Fourth Proportional to 1,154, 1,731.10 and 504.92

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Solution

The fourth proportional to 1,154, 1,731.10 and 504.92 is: 757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154 : 1,731.10 = 504.92 : x
  2. Step 2: Convert to fraction form
    1,154/1,731.10 = 504.92/x
  3. Step 3: Cross multiply
    1,154x = 1,731.10 × 504.92
  4. Step 4: Simplify right side
    1,154x = 874,067.01
  5. Step 5: Solve for x
    x = 874,067.01/1,154
  6. Step 6: Final answer
    x = 757.42

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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.