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Finding the Fourth Proportional to 1,276.98, 1,762.10 and 745.73

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Solution

The fourth proportional to 1,276.98, 1,762.10 and 745.73 is: 1,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.98 : 1,762.10 = 745.73 : x
  2. Step 2: Convert to fraction form
    1,276.98/1,762.10 = 745.73/x
  3. Step 3: Cross multiply
    1,276.98x = 1,762.10 × 745.73
  4. Step 4: Simplify right side
    1,276.98x = 1,314,043.89
  5. Step 5: Solve for x
    x = 1,314,043.89/1,276.98
  6. Step 6: Final answer
    x = 1,029.02

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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.