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Finding the Fourth Proportional to 994.60, 1,374.47 and 797.77

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Solution

The fourth proportional to 994.60, 1,374.47 and 797.77 is: 1,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.60 : 1,374.47 = 797.77 : x
  2. Step 2: Convert to fraction form
    994.60/1,374.47 = 797.77/x
  3. Step 3: Cross multiply
    994.60x = 1,374.47 × 797.77
  4. Step 4: Simplify right side
    994.60x = 1,096,510.93
  5. Step 5: Solve for x
    x = 1,096,510.93/994.60
  6. Step 6: Final answer
    x = 1,102.46

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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.