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Finding the Fourth Proportional to 786.40, 1,084.89 and 454.59

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Solution

The fourth proportional to 786.40, 1,084.89 and 454.59 is: 627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.40 : 1,084.89 = 454.59 : x
  2. Step 2: Convert to fraction form
    786.40/1,084.89 = 454.59/x
  3. Step 3: Cross multiply
    786.40x = 1,084.89 × 454.59
  4. Step 4: Simplify right side
    786.40x = 493,180.15
  5. Step 5: Solve for x
    x = 493,180.15/786.40
  6. Step 6: Final answer
    x = 627.14

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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.