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Finding the Fourth Proportional to 1,583.88, 2,375.16 and 473.05

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Solution

The fourth proportional to 1,583.88, 2,375.16 and 473.05 is: 709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.88 : 2,375.16 = 473.05 : x
  2. Step 2: Convert to fraction form
    1,583.88/2,375.16 = 473.05/x
  3. Step 3: Cross multiply
    1,583.88x = 2,375.16 × 473.05
  4. Step 4: Simplify right side
    1,583.88x = 1,123,569.44
  5. Step 5: Solve for x
    x = 1,123,569.44/1,583.88
  6. Step 6: Final answer
    x = 709.38

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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.