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Finding the Fourth Proportional to 995.78, 1,493.37 and 475.49

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Solution

The fourth proportional to 995.78, 1,493.37 and 475.49 is: 713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.78 : 1,493.37 = 475.49 : x
  2. Step 2: Convert to fraction form
    995.78/1,493.37 = 475.49/x
  3. Step 3: Cross multiply
    995.78x = 1,493.37 × 475.49
  4. Step 4: Simplify right side
    995.78x = 710,075.03
  5. Step 5: Solve for x
    x = 710,075.03/995.78
  6. Step 6: Final answer
    x = 713.09

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Double scale
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1.5x scale

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.