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Finding the Fourth Proportional to 787.94, 1,180.86 and 705.18

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Solution

The fourth proportional to 787.94, 1,180.86 and 705.18 is: 1,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.94 : 1,180.86 = 705.18 : x
  2. Step 2: Convert to fraction form
    787.94/1,180.86 = 705.18/x
  3. Step 3: Cross multiply
    787.94x = 1,180.86 × 705.18
  4. Step 4: Simplify right side
    787.94x = 832,718.85
  5. Step 5: Solve for x
    x = 832,718.85/787.94
  6. Step 6: Final answer
    x = 1,056.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.