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Finding the Fourth Proportional to 994.80, 1,374.16 and 764.80

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Solution

The fourth proportional to 994.80, 1,374.16 and 764.80 is: 1,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.80 : 1,374.16 = 764.80 : x
  2. Step 2: Convert to fraction form
    994.80/1,374.16 = 764.80/x
  3. Step 3: Cross multiply
    994.80x = 1,374.16 × 764.80
  4. Step 4: Simplify right side
    994.80x = 1,050,957.57
  5. Step 5: Solve for x
    x = 1,050,957.57/994.80
  6. Step 6: Final answer
    x = 1,056.45

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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.