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Finding the Fourth Proportional to 1,181.25, 1,771.88 and 488.30

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Solution

The fourth proportional to 1,181.25, 1,771.88 and 488.30 is: 732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.25 : 1,771.88 = 488.30 : x
  2. Step 2: Convert to fraction form
    1,181.25/1,771.88 = 488.30/x
  3. Step 3: Cross multiply
    1,181.25x = 1,771.88 × 488.30
  4. Step 4: Simplify right side
    1,181.25x = 865,197.70
  5. Step 5: Solve for x
    x = 865,197.70/1,181.25
  6. Step 6: Final answer
    x = 732.44

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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.