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Finding the Fourth Proportional to 1,583.75, 2,375.66 and 488.09

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Solution

The fourth proportional to 1,583.75, 2,375.66 and 488.09 is: 732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.75 : 2,375.66 = 488.09 : x
  2. Step 2: Convert to fraction form
    1,583.75/2,375.66 = 488.09/x
  3. Step 3: Cross multiply
    1,583.75x = 2,375.66 × 488.09
  4. Step 4: Simplify right side
    1,583.75x = 1,159,543.05
  5. Step 5: Solve for x
    x = 1,159,543.05/1,583.75
  6. Step 6: Final answer
    x = 732.15

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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.