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Finding the Fourth Proportional to 995.64, 1,494.02 and 411.07

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Solution

The fourth proportional to 995.64, 1,494.02 and 411.07 is: 616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.64 : 1,494.02 = 411.07 : x
  2. Step 2: Convert to fraction form
    995.64/1,494.02 = 411.07/x
  3. Step 3: Cross multiply
    995.64x = 1,494.02 × 411.07
  4. Step 4: Simplify right side
    995.64x = 614,146.11
  5. Step 5: Solve for x
    x = 614,146.11/995.64
  6. Step 6: Final answer
    x = 616.84

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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.