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Finding the Fourth Proportional to 1,157.08, 1,731.90 and 827.80

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Solution

The fourth proportional to 1,157.08, 1,731.90 and 827.80 is: 1,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.08 : 1,731.90 = 827.80 : x
  2. Step 2: Convert to fraction form
    1,157.08/1,731.90 = 827.80/x
  3. Step 3: Cross multiply
    1,157.08x = 1,731.90 × 827.80
  4. Step 4: Simplify right side
    1,157.08x = 1,433,666.82
  5. Step 5: Solve for x
    x = 1,433,666.82/1,157.08
  6. Step 6: Final answer
    x = 1,239.04

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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.