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Finding the Fourth Proportional to 1,338.63, 1,846.99 and 778.76

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Solution

The fourth proportional to 1,338.63, 1,846.99 and 778.76 is: 1,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.63 : 1,846.99 = 778.76 : x
  2. Step 2: Convert to fraction form
    1,338.63/1,846.99 = 778.76/x
  3. Step 3: Cross multiply
    1,338.63x = 1,846.99 × 778.76
  4. Step 4: Simplify right side
    1,338.63x = 1,438,351.02
  5. Step 5: Solve for x
    x = 1,438,351.02/1,338.63
  6. Step 6: Final answer
    x = 1,074.50

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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.