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Finding the Fourth Proportional to 1,798.56, 2,698.34 and 565.94

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Solution

The fourth proportional to 1,798.56, 2,698.34 and 565.94 is: 849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.56 : 2,698.34 = 565.94 : x
  2. Step 2: Convert to fraction form
    1,798.56/2,698.34 = 565.94/x
  3. Step 3: Cross multiply
    1,798.56x = 2,698.34 × 565.94
  4. Step 4: Simplify right side
    1,798.56x = 1,527,082.22
  5. Step 5: Solve for x
    x = 1,527,082.22/1,798.56
  6. Step 6: Final answer
    x = 849.06

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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.