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Finding the Fourth Proportional to 995.90, 1,492.83 and 649.47

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Solution

The fourth proportional to 995.90, 1,492.83 and 649.47 is: 973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.90 : 1,492.83 = 649.47 : x
  2. Step 2: Convert to fraction form
    995.90/1,492.83 = 649.47/x
  3. Step 3: Cross multiply
    995.90x = 1,492.83 × 649.47
  4. Step 4: Simplify right side
    995.90x = 969,548.30
  5. Step 5: Solve for x
    x = 969,548.30/995.90
  6. Step 6: Final answer
    x = 973.54

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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.