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Finding the Fourth Proportional to 1,583.05, 2,375.08 and 761.38

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Solution

The fourth proportional to 1,583.05, 2,375.08 and 761.38 is: 1,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.05 : 2,375.08 = 761.38 : x
  2. Step 2: Convert to fraction form
    1,583.05/2,375.08 = 761.38/x
  3. Step 3: Cross multiply
    1,583.05x = 2,375.08 × 761.38
  4. Step 4: Simplify right side
    1,583.05x = 1,808,340.31
  5. Step 5: Solve for x
    x = 1,808,340.31/1,583.05
  6. Step 6: Final answer
    x = 1,142.32

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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.