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Finding the Fourth Proportional to 1,183.41, 1,775.57 and 534.60

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Solution

The fourth proportional to 1,183.41, 1,775.57 and 534.60 is: 802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.41 : 1,775.57 = 534.60 : x
  2. Step 2: Convert to fraction form
    1,183.41/1,775.57 = 534.60/x
  3. Step 3: Cross multiply
    1,183.41x = 1,775.57 × 534.60
  4. Step 4: Simplify right side
    1,183.41x = 949,217.05
  5. Step 5: Solve for x
    x = 949,217.05/1,183.41
  6. Step 6: Final answer
    x = 802.10

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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.