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Finding the Fourth Proportional to 782.94, 1,080.42 and 428.87

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Solution

The fourth proportional to 782.94, 1,080.42 and 428.87 is: 591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.94 : 1,080.42 = 428.87 : x
  2. Step 2: Convert to fraction form
    782.94/1,080.42 = 428.87/x
  3. Step 3: Cross multiply
    782.94x = 1,080.42 × 428.87
  4. Step 4: Simplify right side
    782.94x = 463,354.32
  5. Step 5: Solve for x
    x = 463,354.32/782.94
  6. Step 6: Final answer
    x = 591.81

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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.