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Finding the Fourth Proportional to 1,276.84, 1,761.86 and 745.89

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Solution

The fourth proportional to 1,276.84, 1,761.86 and 745.89 is: 1,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.84 : 1,761.86 = 745.89 : x
  2. Step 2: Convert to fraction form
    1,276.84/1,761.86 = 745.89/x
  3. Step 3: Cross multiply
    1,276.84x = 1,761.86 × 745.89
  4. Step 4: Simplify right side
    1,276.84x = 1,314,153.76
  5. Step 5: Solve for x
    x = 1,314,153.76/1,276.84
  6. Step 6: Final answer
    x = 1,029.22

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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.