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Finding the Fourth Proportional to 1,406.79, 1,941.38 and 777.34

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Solution

The fourth proportional to 1,406.79, 1,941.38 and 777.34 is: 1,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.79 : 1,941.38 = 777.34 : x
  2. Step 2: Convert to fraction form
    1,406.79/1,941.38 = 777.34/x
  3. Step 3: Cross multiply
    1,406.79x = 1,941.38 × 777.34
  4. Step 4: Simplify right side
    1,406.79x = 1,509,112.33
  5. Step 5: Solve for x
    x = 1,509,112.33/1,406.79
  6. Step 6: Final answer
    x = 1,072.73

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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.