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Finding the Fourth Proportional to 995.33, 1,490.95 and 583.22

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Solution

The fourth proportional to 995.33, 1,490.95 and 583.22 is: 873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.33 : 1,490.95 = 583.22 : x
  2. Step 2: Convert to fraction form
    995.33/1,490.95 = 583.22/x
  3. Step 3: Cross multiply
    995.33x = 1,490.95 × 583.22
  4. Step 4: Simplify right side
    995.33x = 869,548.94
  5. Step 5: Solve for x
    x = 869,548.94/995.33
  6. Step 6: Final answer
    x = 873.63

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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.