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Finding the Fourth Proportional to 995.69, 1,493.64 and 556.93

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Solution

The fourth proportional to 995.69, 1,493.64 and 556.93 is: 835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.69 : 1,493.64 = 556.93 : x
  2. Step 2: Convert to fraction form
    995.69/1,493.64 = 556.93/x
  3. Step 3: Cross multiply
    995.69x = 1,493.64 × 556.93
  4. Step 4: Simplify right side
    995.69x = 831,846.39
  5. Step 5: Solve for x
    x = 831,846.39/995.69
  6. Step 6: Final answer
    x = 835.45

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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.