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Finding the Fourth Proportional to 698.90, 1,048.41 and 287.96

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Solution

The fourth proportional to 698.90, 1,048.41 and 287.96 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.90 : 1,048.41 = 287.96 : x
  2. Step 2: Convert to fraction form
    698.90/1,048.41 = 287.96/x
  3. Step 3: Cross multiply
    698.90x = 1,048.41 × 287.96
  4. Step 4: Simplify right side
    698.90x = 301,894.90
  5. Step 5: Solve for x
    x = 301,894.90/698.90
  6. Step 6: Final answer
    x = 431.96

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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.