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Finding the Fourth Proportional to 995.71, 1,490.37 and 532.33

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Solution

The fourth proportional to 995.71, 1,490.37 and 532.33 is: 796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.71 : 1,490.37 = 532.33 : x
  2. Step 2: Convert to fraction form
    995.71/1,490.37 = 532.33/x
  3. Step 3: Cross multiply
    995.71x = 1,490.37 × 532.33
  4. Step 4: Simplify right side
    995.71x = 793,368.66
  5. Step 5: Solve for x
    x = 793,368.66/995.71
  6. Step 6: Final answer
    x = 796.79

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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.