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Finding the Fourth Proportional to 787.02, 1,084.71 and 696.51

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Solution

The fourth proportional to 787.02, 1,084.71 and 696.51 is: 959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.02 : 1,084.71 = 696.51 : x
  2. Step 2: Convert to fraction form
    787.02/1,084.71 = 696.51/x
  3. Step 3: Cross multiply
    787.02x = 1,084.71 × 696.51
  4. Step 4: Simplify right side
    787.02x = 755,511.36
  5. Step 5: Solve for x
    x = 755,511.36/787.02
  6. Step 6: Final answer
    x = 959.96

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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.