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Finding the Fourth Proportional to 1,159.46, 1,736.61 and 898.68

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Solution

The fourth proportional to 1,159.46, 1,736.61 and 898.68 is: 1,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.46 : 1,736.61 = 898.68 : x
  2. Step 2: Convert to fraction form
    1,159.46/1,736.61 = 898.68/x
  3. Step 3: Cross multiply
    1,159.46x = 1,736.61 × 898.68
  4. Step 4: Simplify right side
    1,159.46x = 1,560,650.05
  5. Step 5: Solve for x
    x = 1,560,650.05/1,159.46
  6. Step 6: Final answer
    x = 1,346.01

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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.