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Finding the Fourth Proportional to 1,408.92, 1,944.33 and 779.40

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Solution

The fourth proportional to 1,408.92, 1,944.33 and 779.40 is: 1,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.92 : 1,944.33 = 779.40 : x
  2. Step 2: Convert to fraction form
    1,408.92/1,944.33 = 779.40/x
  3. Step 3: Cross multiply
    1,408.92x = 1,944.33 × 779.40
  4. Step 4: Simplify right side
    1,408.92x = 1,515,410.80
  5. Step 5: Solve for x
    x = 1,515,410.80/1,408.92
  6. Step 6: Final answer
    x = 1,075.58

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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.