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Finding the Fourth Proportional to 1,081.80, 1,492.90 and 616.04

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Solution

The fourth proportional to 1,081.80, 1,492.90 and 616.04 is: 850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.80 : 1,492.90 = 616.04 : x
  2. Step 2: Convert to fraction form
    1,081.80/1,492.90 = 616.04/x
  3. Step 3: Cross multiply
    1,081.80x = 1,492.90 × 616.04
  4. Step 4: Simplify right side
    1,081.80x = 919,686.12
  5. Step 5: Solve for x
    x = 919,686.12/1,081.80
  6. Step 6: Final answer
    x = 850.14

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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.