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Finding the Fourth Proportional to 1,399.24, 2,097.94 and 783

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Solution

The fourth proportional to 1,399.24, 2,097.94 and 783 is: 1,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.24 : 2,097.94 = 783 : x
  2. Step 2: Convert to fraction form
    1,399.24/2,097.94 = 783/x
  3. Step 3: Cross multiply
    1,399.24x = 2,097.94 × 783
  4. Step 4: Simplify right side
    1,399.24x = 1,642,687.02
  5. Step 5: Solve for x
    x = 1,642,687.02/1,399.24
  6. Step 6: Final answer
    x = 1,173.99

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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.