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Finding the Fourth Proportional to 1,769.02, 2,653.94 and 598.97

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Solution

The fourth proportional to 1,769.02, 2,653.94 and 598.97 is: 898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.02 : 2,653.94 = 598.97 : x
  2. Step 2: Convert to fraction form
    1,769.02/2,653.94 = 598.97/x
  3. Step 3: Cross multiply
    1,769.02x = 2,653.94 × 598.97
  4. Step 4: Simplify right side
    1,769.02x = 1,589,638.57
  5. Step 5: Solve for x
    x = 1,589,638.57/1,769.02
  6. Step 6: Final answer
    x = 898.60

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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.