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Finding the Fourth Proportional to 995.84, 1,493.64 and 418.16

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Solution

The fourth proportional to 995.84, 1,493.64 and 418.16 is: 627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.84 : 1,493.64 = 418.16 : x
  2. Step 2: Convert to fraction form
    995.84/1,493.64 = 418.16/x
  3. Step 3: Cross multiply
    995.84x = 1,493.64 × 418.16
  4. Step 4: Simplify right side
    995.84x = 624,580.50
  5. Step 5: Solve for x
    x = 624,580.50/995.84
  6. Step 6: Final answer
    x = 627.19

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Why These Related Problems?

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