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Finding the Fourth Proportional to 1,081.50, 1,492.74 and 616.02

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Solution

The fourth proportional to 1,081.50, 1,492.74 and 616.02 is: 850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.50 : 1,492.74 = 616.02 : x
  2. Step 2: Convert to fraction form
    1,081.50/1,492.74 = 616.02/x
  3. Step 3: Cross multiply
    1,081.50x = 1,492.74 × 616.02
  4. Step 4: Simplify right side
    1,081.50x = 919,557.69
  5. Step 5: Solve for x
    x = 919,557.69/1,081.50
  6. Step 6: Final answer
    x = 850.26

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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.