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Finding the Fourth Proportional to 1,277.11, 1,762.32 and 745.84

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Solution

The fourth proportional to 1,277.11, 1,762.32 and 745.84 is: 1,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.11 : 1,762.32 = 745.84 : x
  2. Step 2: Convert to fraction form
    1,277.11/1,762.32 = 745.84/x
  3. Step 3: Cross multiply
    1,277.11x = 1,762.32 × 745.84
  4. Step 4: Simplify right side
    1,277.11x = 1,314,408.75
  5. Step 5: Solve for x
    x = 1,314,408.75/1,277.11
  6. Step 6: Final answer
    x = 1,029.21

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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.