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Finding the Fourth Proportional to 911.08, 1,366.98 and 766.36

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Solution

The fourth proportional to 911.08, 1,366.98 and 766.36 is: 1,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.08 : 1,366.98 = 766.36 : x
  2. Step 2: Convert to fraction form
    911.08/1,366.98 = 766.36/x
  3. Step 3: Cross multiply
    911.08x = 1,366.98 × 766.36
  4. Step 4: Simplify right side
    911.08x = 1,047,598.79
  5. Step 5: Solve for x
    x = 1,047,598.79/911.08
  6. Step 6: Final answer
    x = 1,149.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.