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Finding the Fourth Proportional to 826.84, 1,237.24 and 712.60

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Solution

The fourth proportional to 826.84, 1,237.24 and 712.60 is: 1,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.84 : 1,237.24 = 712.60 : x
  2. Step 2: Convert to fraction form
    826.84/1,237.24 = 712.60/x
  3. Step 3: Cross multiply
    826.84x = 1,237.24 × 712.60
  4. Step 4: Simplify right side
    826.84x = 881,657.22
  5. Step 5: Solve for x
    x = 881,657.22/826.84
  6. Step 6: Final answer
    x = 1,066.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.