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Finding the Fourth Proportional to 1,084.46, 1,492.74 and 959.90

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Solution

The fourth proportional to 1,084.46, 1,492.74 and 959.90 is: 1,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.46 : 1,492.74 = 959.90 : x
  2. Step 2: Convert to fraction form
    1,084.46/1,492.74 = 959.90/x
  3. Step 3: Cross multiply
    1,084.46x = 1,492.74 × 959.90
  4. Step 4: Simplify right side
    1,084.46x = 1,432,873.66
  5. Step 5: Solve for x
    x = 1,432,873.66/1,084.46
  6. Step 6: Final answer
    x = 1,321.28

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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.