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Finding the Fourth Proportional to 1,434.92, 1,980.22 and 845.60

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Solution

The fourth proportional to 1,434.92, 1,980.22 and 845.60 is: 1,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.92 : 1,980.22 = 845.60 : x
  2. Step 2: Convert to fraction form
    1,434.92/1,980.22 = 845.60/x
  3. Step 3: Cross multiply
    1,434.92x = 1,980.22 × 845.60
  4. Step 4: Simplify right side
    1,434.92x = 1,674,474.03
  5. Step 5: Solve for x
    x = 1,674,474.03/1,434.92
  6. Step 6: Final answer
    x = 1,166.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.