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Finding the Fourth Proportional to 1,084.14, 1,632.02 and 933.44

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Solution

The fourth proportional to 1,084.14, 1,632.02 and 933.44 is: 1,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.14 : 1,632.02 = 933.44 : x
  2. Step 2: Convert to fraction form
    1,084.14/1,632.02 = 933.44/x
  3. Step 3: Cross multiply
    1,084.14x = 1,632.02 × 933.44
  4. Step 4: Simplify right side
    1,084.14x = 1,523,379.92
  5. Step 5: Solve for x
    x = 1,523,379.92/1,084.14
  6. Step 6: Final answer
    x = 1,405.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.