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Finding the Fourth Proportional to 1,132.89, 1,562.12 and 712.73

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Solution

The fourth proportional to 1,132.89, 1,562.12 and 712.73 is: 982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.89 : 1,562.12 = 712.73 : x
  2. Step 2: Convert to fraction form
    1,132.89/1,562.12 = 712.73/x
  3. Step 3: Cross multiply
    1,132.89x = 1,562.12 × 712.73
  4. Step 4: Simplify right side
    1,132.89x = 1,113,369.79
  5. Step 5: Solve for x
    x = 1,113,369.79/1,132.89
  6. Step 6: Final answer
    x = 982.77

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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.