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Finding the Fourth Proportional to 787.92, 1,186.46 and 583.92

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Solution

The fourth proportional to 787.92, 1,186.46 and 583.92 is: 879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.92 : 1,186.46 = 583.92 : x
  2. Step 2: Convert to fraction form
    787.92/1,186.46 = 583.92/x
  3. Step 3: Cross multiply
    787.92x = 1,186.46 × 583.92
  4. Step 4: Simplify right side
    787.92x = 692,797.72
  5. Step 5: Solve for x
    x = 692,797.72/787.92
  6. Step 6: Final answer
    x = 879.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.