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Finding the Fourth Proportional to 698.93, 1,048.24 and 424.04

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Solution

The fourth proportional to 698.93, 1,048.24 and 424.04 is: 635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.93 : 1,048.24 = 424.04 : x
  2. Step 2: Convert to fraction form
    698.93/1,048.24 = 424.04/x
  3. Step 3: Cross multiply
    698.93x = 1,048.24 × 424.04
  4. Step 4: Simplify right side
    698.93x = 444,490.98
  5. Step 5: Solve for x
    x = 444,490.98/698.93
  6. Step 6: Final answer
    x = 635.96

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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.