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Finding the Fourth Proportional to 948.62, 1,314.17 and 925.94

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Solution

The fourth proportional to 948.62, 1,314.17 and 925.94 is: 1,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.62 : 1,314.17 = 925.94 : x
  2. Step 2: Convert to fraction form
    948.62/1,314.17 = 925.94/x
  3. Step 3: Cross multiply
    948.62x = 1,314.17 × 925.94
  4. Step 4: Simplify right side
    948.62x = 1,216,842.57
  5. Step 5: Solve for x
    x = 1,216,842.57/948.62
  6. Step 6: Final answer
    x = 1,282.75

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Why These Related Problems?

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