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Finding the Fourth Proportional to 1,583.72, 2,375.48 and 429.38

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Solution

The fourth proportional to 1,583.72, 2,375.48 and 429.38 is: 644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.72 : 2,375.48 = 429.38 : x
  2. Step 2: Convert to fraction form
    1,583.72/2,375.48 = 429.38/x
  3. Step 3: Cross multiply
    1,583.72x = 2,375.48 × 429.38
  4. Step 4: Simplify right side
    1,583.72x = 1,019,969.58
  5. Step 5: Solve for x
    x = 1,019,969.58/1,583.72
  6. Step 6: Final answer
    x = 644.04

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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.