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Finding the Fourth Proportional to 1,302.82, 1,954.17 and 378.36

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Solution

The fourth proportional to 1,302.82, 1,954.17 and 378.36 is: 567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.82 : 1,954.17 = 378.36 : x
  2. Step 2: Convert to fraction form
    1,302.82/1,954.17 = 378.36/x
  3. Step 3: Cross multiply
    1,302.82x = 1,954.17 × 378.36
  4. Step 4: Simplify right side
    1,302.82x = 739,369.99
  5. Step 5: Solve for x
    x = 739,369.99/1,302.82
  6. Step 6: Final answer
    x = 567.52

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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.