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Finding the Fourth Proportional to 698.83, 1,048.24 and 265.88

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Solution

The fourth proportional to 698.83, 1,048.24 and 265.88 is: 398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.83 : 1,048.24 = 265.88 : x
  2. Step 2: Convert to fraction form
    698.83/1,048.24 = 265.88/x
  3. Step 3: Cross multiply
    698.83x = 1,048.24 × 265.88
  4. Step 4: Simplify right side
    698.83x = 278,709.00
  5. Step 5: Solve for x
    x = 278,709.00/698.83
  6. Step 6: Final answer
    x = 398.82

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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.