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Finding the Fourth Proportional to 1,406.23, 1,940.58 and 776.75

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Solution

The fourth proportional to 1,406.23, 1,940.58 and 776.75 is: 1,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.23 : 1,940.58 = 776.75 : x
  2. Step 2: Convert to fraction form
    1,406.23/1,940.58 = 776.75/x
  3. Step 3: Cross multiply
    1,406.23x = 1,940.58 × 776.75
  4. Step 4: Simplify right side
    1,406.23x = 1,507,343.09
  5. Step 5: Solve for x
    x = 1,507,343.09/1,406.23
  6. Step 6: Final answer
    x = 1,071.91

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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.