Home / 1,187.16-1,636.94-766.96

Finding the Fourth Proportional to 1,187.16, 1,636.94 and 766.96

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Solution

The fourth proportional to 1,187.16, 1,636.94 and 766.96 is: 1,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.16 : 1,636.94 = 766.96 : x
  2. Step 2: Convert to fraction form
    1,187.16/1,636.94 = 766.96/x
  3. Step 3: Cross multiply
    1,187.16x = 1,636.94 × 766.96
  4. Step 4: Simplify right side
    1,187.16x = 1,255,465.33
  5. Step 5: Solve for x
    x = 1,255,465.33/1,187.16
  6. Step 6: Final answer
    x = 1,057.54

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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.