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Finding the Fourth Proportional to 787.84, 1,186.12 and 682

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Solution

The fourth proportional to 787.84, 1,186.12 and 682 is: 1,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.84 : 1,186.12 = 682 : x
  2. Step 2: Convert to fraction form
    787.84/1,186.12 = 682/x
  3. Step 3: Cross multiply
    787.84x = 1,186.12 × 682
  4. Step 4: Simplify right side
    787.84x = 808,933.84
  5. Step 5: Solve for x
    x = 808,933.84/787.84
  6. Step 6: Final answer
    x = 1,026.77

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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.