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Finding the Fourth Proportional to 995.16, 1,374.16 and 646.48

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Solution

The fourth proportional to 995.16, 1,374.16 and 646.48 is: 892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.16 : 1,374.16 = 646.48 : x
  2. Step 2: Convert to fraction form
    995.16/1,374.16 = 646.48/x
  3. Step 3: Cross multiply
    995.16x = 1,374.16 × 646.48
  4. Step 4: Simplify right side
    995.16x = 888,366.96
  5. Step 5: Solve for x
    x = 888,366.96/995.16
  6. Step 6: Final answer
    x = 892.69

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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.