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Finding the Fourth Proportional to 1,583.65, 2,375.75 and 543.75

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Solution

The fourth proportional to 1,583.65, 2,375.75 and 543.75 is: 815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.65 : 2,375.75 = 543.75 : x
  2. Step 2: Convert to fraction form
    1,583.65/2,375.75 = 543.75/x
  3. Step 3: Cross multiply
    1,583.65x = 2,375.75 × 543.75
  4. Step 4: Simplify right side
    1,583.65x = 1,291,814.06
  5. Step 5: Solve for x
    x = 1,291,814.06/1,583.65
  6. Step 6: Final answer
    x = 815.72

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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.