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Finding the Fourth Proportional to 1,084.06, 1,495.88 and 611.98

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Solution

The fourth proportional to 1,084.06, 1,495.88 and 611.98 is: 844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.06 : 1,495.88 = 611.98 : x
  2. Step 2: Convert to fraction form
    1,084.06/1,495.88 = 611.98/x
  3. Step 3: Cross multiply
    1,084.06x = 1,495.88 × 611.98
  4. Step 4: Simplify right side
    1,084.06x = 915,446.43
  5. Step 5: Solve for x
    x = 915,446.43/1,084.06
  6. Step 6: Final answer
    x = 844.46

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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.