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Finding the Fourth Proportional to 1,797.99, 2,697.34 and 565.43

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Solution

The fourth proportional to 1,797.99, 2,697.34 and 565.43 is: 848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.99 : 2,697.34 = 565.43 : x
  2. Step 2: Convert to fraction form
    1,797.99/2,697.34 = 565.43/x
  3. Step 3: Cross multiply
    1,797.99x = 2,697.34 × 565.43
  4. Step 4: Simplify right side
    1,797.99x = 1,525,142.06
  5. Step 5: Solve for x
    x = 1,525,142.06/1,797.99
  6. Step 6: Final answer
    x = 848.25

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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.