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Finding the Fourth Proportional to 994.83, 1,492.25 and 561.99

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Solution

The fourth proportional to 994.83, 1,492.25 and 561.99 is: 842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.83 : 1,492.25 = 561.99 : x
  2. Step 2: Convert to fraction form
    994.83/1,492.25 = 561.99/x
  3. Step 3: Cross multiply
    994.83x = 1,492.25 × 561.99
  4. Step 4: Simplify right side
    994.83x = 838,629.58
  5. Step 5: Solve for x
    x = 838,629.58/994.83
  6. Step 6: Final answer
    x = 842.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.