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Finding the Fourth Proportional to 1,769.46, 2,653.10 and 599.34

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Solution

The fourth proportional to 1,769.46, 2,653.10 and 599.34 is: 898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.46 : 2,653.10 = 599.34 : x
  2. Step 2: Convert to fraction form
    1,769.46/2,653.10 = 599.34/x
  3. Step 3: Cross multiply
    1,769.46x = 2,653.10 × 599.34
  4. Step 4: Simplify right side
    1,769.46x = 1,590,118.15
  5. Step 5: Solve for x
    x = 1,590,118.15/1,769.46
  6. Step 6: Final answer
    x = 898.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.