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Finding the Fourth Proportional to 927.96, 1,394.35 and 698.32

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Solution

The fourth proportional to 927.96, 1,394.35 and 698.32 is: 1,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.96 : 1,394.35 = 698.32 : x
  2. Step 2: Convert to fraction form
    927.96/1,394.35 = 698.32/x
  3. Step 3: Cross multiply
    927.96x = 1,394.35 × 698.32
  4. Step 4: Simplify right side
    927.96x = 973,702.49
  5. Step 5: Solve for x
    x = 973,702.49/927.96
  6. Step 6: Final answer
    x = 1,049.30

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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.