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Finding the Fourth Proportional to 1,583.50, 2,375.25 and 429.25

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Solution

The fourth proportional to 1,583.50, 2,375.25 and 429.25 is: 643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.50 : 2,375.25 = 429.25 : x
  2. Step 2: Convert to fraction form
    1,583.50/2,375.25 = 429.25/x
  3. Step 3: Cross multiply
    1,583.50x = 2,375.25 × 429.25
  4. Step 4: Simplify right side
    1,583.50x = 1,019,576.06
  5. Step 5: Solve for x
    x = 1,019,576.06/1,583.50
  6. Step 6: Final answer
    x = 643.88

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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.