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Finding the Fourth Proportional to 930.08, 1,394.88 and 539.24

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Solution

The fourth proportional to 930.08, 1,394.88 and 539.24 is: 808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.08 : 1,394.88 = 539.24 : x
  2. Step 2: Convert to fraction form
    930.08/1,394.88 = 539.24/x
  3. Step 3: Cross multiply
    930.08x = 1,394.88 × 539.24
  4. Step 4: Simplify right side
    930.08x = 752,175.09
  5. Step 5: Solve for x
    x = 752,175.09/930.08
  6. Step 6: Final answer
    x = 808.72

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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.