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Finding the Fourth Proportional to 948.12, 1,313.47 and 925.44

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Solution

The fourth proportional to 948.12, 1,313.47 and 925.44 is: 1,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.12 : 1,313.47 = 925.44 : x
  2. Step 2: Convert to fraction form
    948.12/1,313.47 = 925.44/x
  3. Step 3: Cross multiply
    948.12x = 1,313.47 × 925.44
  4. Step 4: Simplify right side
    948.12x = 1,215,537.68
  5. Step 5: Solve for x
    x = 1,215,537.68/948.12
  6. Step 6: Final answer
    x = 1,282.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.