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Finding the Fourth Proportional to 984.78, 1,477.56 and 465.78

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Solution

The fourth proportional to 984.78, 1,477.56 and 465.78 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.78 : 1,477.56 = 465.78 : x
  2. Step 2: Convert to fraction form
    984.78/1,477.56 = 465.78/x
  3. Step 3: Cross multiply
    984.78x = 1,477.56 × 465.78
  4. Step 4: Simplify right side
    984.78x = 688,217.90
  5. Step 5: Solve for x
    x = 688,217.90/984.78
  6. Step 6: Final answer
    x = 698.85

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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.