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Finding the Fourth Proportional to 1,276.92, 1,762.13 and 745.92

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Solution

The fourth proportional to 1,276.92, 1,762.13 and 745.92 is: 1,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.92 : 1,762.13 = 745.92 : x
  2. Step 2: Convert to fraction form
    1,276.92/1,762.13 = 745.92/x
  3. Step 3: Cross multiply
    1,276.92x = 1,762.13 × 745.92
  4. Step 4: Simplify right side
    1,276.92x = 1,314,408.01
  5. Step 5: Solve for x
    x = 1,314,408.01/1,276.92
  6. Step 6: Final answer
    x = 1,029.36

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1.5x scale

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.