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Finding the Fourth Proportional to 863.91, 1,294.65 and 698.67

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Solution

The fourth proportional to 863.91, 1,294.65 and 698.67 is: 1,047.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.91 : 1,294.65 = 698.67 : x
  2. Step 2: Convert to fraction form
    863.91/1,294.65 = 698.67/x
  3. Step 3: Cross multiply
    863.91x = 1,294.65 × 698.67
  4. Step 4: Simplify right side
    863.91x = 904,533.12
  5. Step 5: Solve for x
    x = 904,533.12/863.91
  6. Step 6: Final answer
    x = 1,047.02

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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.