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Finding the Fourth Proportional to 995.74, 1,493.88 and 584.14

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Solution

The fourth proportional to 995.74, 1,493.88 and 584.14 is: 876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.74 : 1,493.88 = 584.14 : x
  2. Step 2: Convert to fraction form
    995.74/1,493.88 = 584.14/x
  3. Step 3: Cross multiply
    995.74x = 1,493.88 × 584.14
  4. Step 4: Simplify right side
    995.74x = 872,635.06
  5. Step 5: Solve for x
    x = 872,635.06/995.74
  6. Step 6: Final answer
    x = 876.37

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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.