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Finding the Fourth Proportional to 995.92, 1,374.81 and 597.76

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Solution

The fourth proportional to 995.92, 1,374.81 and 597.76 is: 825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.92 : 1,374.81 = 597.76 : x
  2. Step 2: Convert to fraction form
    995.92/1,374.81 = 597.76/x
  3. Step 3: Cross multiply
    995.92x = 1,374.81 × 597.76
  4. Step 4: Simplify right side
    995.92x = 821,806.43
  5. Step 5: Solve for x
    x = 821,806.43/995.92
  6. Step 6: Final answer
    x = 825.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.