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Finding the Fourth Proportional to 995.58, 1,374.11 and 664.13

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Solution

The fourth proportional to 995.58, 1,374.11 and 664.13 is: 916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.58 : 1,374.11 = 664.13 : x
  2. Step 2: Convert to fraction form
    995.58/1,374.11 = 664.13/x
  3. Step 3: Cross multiply
    995.58x = 1,374.11 × 664.13
  4. Step 4: Simplify right side
    995.58x = 912,577.48
  5. Step 5: Solve for x
    x = 912,577.48/995.58
  6. Step 6: Final answer
    x = 916.63

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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.