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Finding the Fourth Proportional to 1,406.54, 1,940.97 and 777.01

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Solution

The fourth proportional to 1,406.54, 1,940.97 and 777.01 is: 1,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.54 : 1,940.97 = 777.01 : x
  2. Step 2: Convert to fraction form
    1,406.54/1,940.97 = 777.01/x
  3. Step 3: Cross multiply
    1,406.54x = 1,940.97 × 777.01
  4. Step 4: Simplify right side
    1,406.54x = 1,508,153.10
  5. Step 5: Solve for x
    x = 1,508,153.10/1,406.54
  6. Step 6: Final answer
    x = 1,072.24

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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.