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Finding the Fourth Proportional to 1,084.95, 1,617.18 and 1,076.46

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Solution

The fourth proportional to 1,084.95, 1,617.18 and 1,076.46 is: 1,604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.95 : 1,617.18 = 1,076.46 : x
  2. Step 2: Convert to fraction form
    1,084.95/1,617.18 = 1,076.46/x
  3. Step 3: Cross multiply
    1,084.95x = 1,617.18 × 1,076.46
  4. Step 4: Simplify right side
    1,084.95x = 1,740,829.58
  5. Step 5: Solve for x
    x = 1,740,829.58/1,084.95
  6. Step 6: Final answer
    x = 1,604.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.