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Finding the Fourth Proportional to 1,132.96, 1,563.56 and 628.84

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Solution

The fourth proportional to 1,132.96, 1,563.56 and 628.84 is: 867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.96 : 1,563.56 = 628.84 : x
  2. Step 2: Convert to fraction form
    1,132.96/1,563.56 = 628.84/x
  3. Step 3: Cross multiply
    1,132.96x = 1,563.56 × 628.84
  4. Step 4: Simplify right side
    1,132.96x = 983,226.73
  5. Step 5: Solve for x
    x = 983,226.73/1,132.96
  6. Step 6: Final answer
    x = 867.84

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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.