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Finding the Fourth Proportional to 1,583.82, 2,375.71 and 543.84

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Solution

The fourth proportional to 1,583.82, 2,375.71 and 543.84 is: 815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.82 : 2,375.71 = 543.84 : x
  2. Step 2: Convert to fraction form
    1,583.82/2,375.71 = 543.84/x
  3. Step 3: Cross multiply
    1,583.82x = 2,375.71 × 543.84
  4. Step 4: Simplify right side
    1,583.82x = 1,292,006.13
  5. Step 5: Solve for x
    x = 1,292,006.13/1,583.82
  6. Step 6: Final answer
    x = 815.75

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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.