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Finding the Fourth Proportional to 1,081.53, 1,492.40 and 662.00

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Solution

The fourth proportional to 1,081.53, 1,492.40 and 662.00 is: 913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.53 : 1,492.40 = 662.00 : x
  2. Step 2: Convert to fraction form
    1,081.53/1,492.40 = 662.00/x
  3. Step 3: Cross multiply
    1,081.53x = 1,492.40 × 662.00
  4. Step 4: Simplify right side
    1,081.53x = 987,965.33
  5. Step 5: Solve for x
    x = 987,965.33/1,081.53
  6. Step 6: Final answer
    x = 913.49

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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.