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Finding the Fourth Proportional to 1,306.74, 1,955.44 and 1,135.43

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Solution

The fourth proportional to 1,306.74, 1,955.44 and 1,135.43 is: 1,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.74 : 1,955.44 = 1,135.43 : x
  2. Step 2: Convert to fraction form
    1,306.74/1,955.44 = 1,135.43/x
  3. Step 3: Cross multiply
    1,306.74x = 1,955.44 × 1,135.43
  4. Step 4: Simplify right side
    1,306.74x = 2,220,265.24
  5. Step 5: Solve for x
    x = 2,220,265.24/1,306.74
  6. Step 6: Final answer
    x = 1,699.09

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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.