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Finding the Fourth Proportional to 1,104.78, 1,525.08 and 745.95

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Solution

The fourth proportional to 1,104.78, 1,525.08 and 745.95 is: 1,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.78 : 1,525.08 = 745.95 : x
  2. Step 2: Convert to fraction form
    1,104.78/1,525.08 = 745.95/x
  3. Step 3: Cross multiply
    1,104.78x = 1,525.08 × 745.95
  4. Step 4: Simplify right side
    1,104.78x = 1,137,633.43
  5. Step 5: Solve for x
    x = 1,137,633.43/1,104.78
  6. Step 6: Final answer
    x = 1,029.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.