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Finding the Fourth Proportional to 931.27, 1,394.88 and 442.84

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Solution

The fourth proportional to 931.27, 1,394.88 and 442.84 is: 663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.27 : 1,394.88 = 442.84 : x
  2. Step 2: Convert to fraction form
    931.27/1,394.88 = 442.84/x
  3. Step 3: Cross multiply
    931.27x = 1,394.88 × 442.84
  4. Step 4: Simplify right side
    931.27x = 617,708.66
  5. Step 5: Solve for x
    x = 617,708.66/931.27
  6. Step 6: Final answer
    x = 663.30

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Why These Related Problems?

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