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Finding the Fourth Proportional to 787.76, 1,084.53 and 629.81

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Solution

The fourth proportional to 787.76, 1,084.53 and 629.81 is: 867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.76 : 1,084.53 = 629.81 : x
  2. Step 2: Convert to fraction form
    787.76/1,084.53 = 629.81/x
  3. Step 3: Cross multiply
    787.76x = 1,084.53 × 629.81
  4. Step 4: Simplify right side
    787.76x = 683,047.84
  5. Step 5: Solve for x
    x = 683,047.84/787.76
  6. Step 6: Final answer
    x = 867.08

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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.