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Finding the Fourth Proportional to 698.59, 1,048.04 and 265.75

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Solution

The fourth proportional to 698.59, 1,048.04 and 265.75 is: 398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.59 : 1,048.04 = 265.75 : x
  2. Step 2: Convert to fraction form
    698.59/1,048.04 = 265.75/x
  3. Step 3: Cross multiply
    698.59x = 1,048.04 × 265.75
  4. Step 4: Simplify right side
    698.59x = 278,516.63
  5. Step 5: Solve for x
    x = 278,516.63/698.59
  6. Step 6: Final answer
    x = 398.68

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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.