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Finding the Fourth Proportional to 786.14, 1,084.94 and 454.56

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Solution

The fourth proportional to 786.14, 1,084.94 and 454.56 is: 627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.14 : 1,084.94 = 454.56 : x
  2. Step 2: Convert to fraction form
    786.14/1,084.94 = 454.56/x
  3. Step 3: Cross multiply
    786.14x = 1,084.94 × 454.56
  4. Step 4: Simplify right side
    786.14x = 493,165.69
  5. Step 5: Solve for x
    x = 493,165.69/786.14
  6. Step 6: Final answer
    x = 627.33

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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.