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Finding the Fourth Proportional to 995.55, 1,374.31 and 597.39

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Solution

The fourth proportional to 995.55, 1,374.31 and 597.39 is: 824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.55 : 1,374.31 = 597.39 : x
  2. Step 2: Convert to fraction form
    995.55/1,374.31 = 597.39/x
  3. Step 3: Cross multiply
    995.55x = 1,374.31 × 597.39
  4. Step 4: Simplify right side
    995.55x = 820,999.05
  5. Step 5: Solve for x
    x = 820,999.05/995.55
  6. Step 6: Final answer
    x = 824.67

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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.