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Finding the Fourth Proportional to 995.80, 1,374.18 and 581.80

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Solution

The fourth proportional to 995.80, 1,374.18 and 581.80 is: 802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.80 : 1,374.18 = 581.80 : x
  2. Step 2: Convert to fraction form
    995.80/1,374.18 = 581.80/x
  3. Step 3: Cross multiply
    995.80x = 1,374.18 × 581.80
  4. Step 4: Simplify right side
    995.80x = 799,497.92
  5. Step 5: Solve for x
    x = 799,497.92/995.80
  6. Step 6: Final answer
    x = 802.87

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