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Finding the Fourth Proportional to 1,187.82, 1,778.58 and 776.34

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Solution

The fourth proportional to 1,187.82, 1,778.58 and 776.34 is: 1,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.82 : 1,778.58 = 776.34 : x
  2. Step 2: Convert to fraction form
    1,187.82/1,778.58 = 776.34/x
  3. Step 3: Cross multiply
    1,187.82x = 1,778.58 × 776.34
  4. Step 4: Simplify right side
    1,187.82x = 1,380,782.80
  5. Step 5: Solve for x
    x = 1,380,782.80/1,187.82
  6. Step 6: Final answer
    x = 1,162.45

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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.