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Finding the Fourth Proportional to 1,367.81, 1,887.58 and 778.35

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Solution

The fourth proportional to 1,367.81, 1,887.58 and 778.35 is: 1,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.81 : 1,887.58 = 778.35 : x
  2. Step 2: Convert to fraction form
    1,367.81/1,887.58 = 778.35/x
  3. Step 3: Cross multiply
    1,367.81x = 1,887.58 × 778.35
  4. Step 4: Simplify right side
    1,367.81x = 1,469,197.89
  5. Step 5: Solve for x
    x = 1,469,197.89/1,367.81
  6. Step 6: Final answer
    x = 1,074.12

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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.