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Finding the Fourth Proportional to 734.78, 1,098.98 and 425.88

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Solution

The fourth proportional to 734.78, 1,098.98 and 425.88 is: 636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.78 : 1,098.98 = 425.88 : x
  2. Step 2: Convert to fraction form
    734.78/1,098.98 = 425.88/x
  3. Step 3: Cross multiply
    734.78x = 1,098.98 × 425.88
  4. Step 4: Simplify right side
    734.78x = 468,033.60
  5. Step 5: Solve for x
    x = 468,033.60/734.78
  6. Step 6: Final answer
    x = 636.97

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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.