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Finding the Fourth Proportional to 1,274.79, 1,908.45 and 967.85

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Solution

The fourth proportional to 1,274.79, 1,908.45 and 967.85 is: 1,448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.79 : 1,908.45 = 967.85 : x
  2. Step 2: Convert to fraction form
    1,274.79/1,908.45 = 967.85/x
  3. Step 3: Cross multiply
    1,274.79x = 1,908.45 × 967.85
  4. Step 4: Simplify right side
    1,274.79x = 1,847,083.79
  5. Step 5: Solve for x
    x = 1,847,083.79/1,274.79
  6. Step 6: Final answer
    x = 1,448.93

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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.