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Finding the Fourth Proportional to 1,091.46, 1,637.60 and 506.75

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Solution

The fourth proportional to 1,091.46, 1,637.60 and 506.75 is: 760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.46 : 1,637.60 = 506.75 : x
  2. Step 2: Convert to fraction form
    1,091.46/1,637.60 = 506.75/x
  3. Step 3: Cross multiply
    1,091.46x = 1,637.60 × 506.75
  4. Step 4: Simplify right side
    1,091.46x = 829,846.88
  5. Step 5: Solve for x
    x = 829,846.88/1,091.46
  6. Step 6: Final answer
    x = 760.31

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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.