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Finding the Fourth Proportional to 698.10, 1,046.13 and 264.75

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Solution

The fourth proportional to 698.10, 1,046.13 and 264.75 is: 396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.10 : 1,046.13 = 264.75 : x
  2. Step 2: Convert to fraction form
    698.10/1,046.13 = 264.75/x
  3. Step 3: Cross multiply
    698.10x = 1,046.13 × 264.75
  4. Step 4: Simplify right side
    698.10x = 276,962.92
  5. Step 5: Solve for x
    x = 276,962.92/698.10
  6. Step 6: Final answer
    x = 396.74

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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.