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Finding the Fourth Proportional to 995.68, 1,494.60 and 509.14

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Solution

The fourth proportional to 995.68, 1,494.60 and 509.14 is: 764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.68 : 1,494.60 = 509.14 : x
  2. Step 2: Convert to fraction form
    995.68/1,494.60 = 509.14/x
  3. Step 3: Cross multiply
    995.68x = 1,494.60 × 509.14
  4. Step 4: Simplify right side
    995.68x = 760,960.64
  5. Step 5: Solve for x
    x = 760,960.64/995.68
  6. Step 6: Final answer
    x = 764.26

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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.