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Finding the Fourth Proportional to 1,302.93, 1,954.58 and 378.49

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Solution

The fourth proportional to 1,302.93, 1,954.58 and 378.49 is: 567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.93 : 1,954.58 = 378.49 : x
  2. Step 2: Convert to fraction form
    1,302.93/1,954.58 = 378.49/x
  3. Step 3: Cross multiply
    1,302.93x = 1,954.58 × 378.49
  4. Step 4: Simplify right side
    1,302.93x = 739,788.98
  5. Step 5: Solve for x
    x = 739,788.98/1,302.93
  6. Step 6: Final answer
    x = 567.79

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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.