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Finding the Fourth Proportional to 1,022.80, 1,412.52 and 787.60

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Solution

The fourth proportional to 1,022.80, 1,412.52 and 787.60 is: 1,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.80 : 1,412.52 = 787.60 : x
  2. Step 2: Convert to fraction form
    1,022.80/1,412.52 = 787.60/x
  3. Step 3: Cross multiply
    1,022.80x = 1,412.52 × 787.60
  4. Step 4: Simplify right side
    1,022.80x = 1,112,500.75
  5. Step 5: Solve for x
    x = 1,112,500.75/1,022.80
  6. Step 6: Final answer
    x = 1,087.70

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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.