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Finding the Fourth Proportional to 1,337.85, 1,846.44 and 778.50

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Solution

The fourth proportional to 1,337.85, 1,846.44 and 778.50 is: 1,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.85 : 1,846.44 = 778.50 : x
  2. Step 2: Convert to fraction form
    1,337.85/1,846.44 = 778.50/x
  3. Step 3: Cross multiply
    1,337.85x = 1,846.44 × 778.50
  4. Step 4: Simplify right side
    1,337.85x = 1,437,453.54
  5. Step 5: Solve for x
    x = 1,437,453.54/1,337.85
  6. Step 6: Final answer
    x = 1,074.45

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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.