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Finding the Fourth Proportional to 995.00, 1,492.26 and 409.85

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Solution

The fourth proportional to 995.00, 1,492.26 and 409.85 is: 614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.00 : 1,492.26 = 409.85 : x
  2. Step 2: Convert to fraction form
    995.00/1,492.26 = 409.85/x
  3. Step 3: Cross multiply
    995.00x = 1,492.26 × 409.85
  4. Step 4: Simplify right side
    995.00x = 611,595.30
  5. Step 5: Solve for x
    x = 611,595.30/995.00
  6. Step 6: Final answer
    x = 614.67

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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.