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Finding the Fourth Proportional to 1,352.88, 2,026.06 and 774

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Solution

The fourth proportional to 1,352.88, 2,026.06 and 774 is: 1,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.88 : 2,026.06 = 774 : x
  2. Step 2: Convert to fraction form
    1,352.88/2,026.06 = 774/x
  3. Step 3: Cross multiply
    1,352.88x = 2,026.06 × 774
  4. Step 4: Simplify right side
    1,352.88x = 1,568,170.44
  5. Step 5: Solve for x
    x = 1,568,170.44/1,352.88
  6. Step 6: Final answer
    x = 1,159.13

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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.