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Finding the Fourth Proportional to 919.36, 1,266.15 and 762.67

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Solution

The fourth proportional to 919.36, 1,266.15 and 762.67 is: 1,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.36 : 1,266.15 = 762.67 : x
  2. Step 2: Convert to fraction form
    919.36/1,266.15 = 762.67/x
  3. Step 3: Cross multiply
    919.36x = 1,266.15 × 762.67
  4. Step 4: Simplify right side
    919.36x = 965,654.62
  5. Step 5: Solve for x
    x = 965,654.62/919.36
  6. Step 6: Final answer
    x = 1,050.36

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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.