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Finding the Fourth Proportional to 1,302.84, 1,954.26 and 954.36

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Solution

The fourth proportional to 1,302.84, 1,954.26 and 954.36 is: 1,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.84 : 1,954.26 = 954.36 : x
  2. Step 2: Convert to fraction form
    1,302.84/1,954.26 = 954.36/x
  3. Step 3: Cross multiply
    1,302.84x = 1,954.26 × 954.36
  4. Step 4: Simplify right side
    1,302.84x = 1,865,067.57
  5. Step 5: Solve for x
    x = 1,865,067.57/1,302.84
  6. Step 6: Final answer
    x = 1,431.54

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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.