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Finding the Fourth Proportional to 995.09, 1,492.64 and 562.14

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Solution

The fourth proportional to 995.09, 1,492.64 and 562.14 is: 843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.09 : 1,492.64 = 562.14 : x
  2. Step 2: Convert to fraction form
    995.09/1,492.64 = 562.14/x
  3. Step 3: Cross multiply
    995.09x = 1,492.64 × 562.14
  4. Step 4: Simplify right side
    995.09x = 839,069.84
  5. Step 5: Solve for x
    x = 839,069.84/995.09
  6. Step 6: Final answer
    x = 843.21

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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.