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Finding the Fourth Proportional to 1,735.89, 2,602 and 639.55

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Solution

The fourth proportional to 1,735.89, 2,602 and 639.55 is: 958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.89 : 2,602 = 639.55 : x
  2. Step 2: Convert to fraction form
    1,735.89/2,602 = 639.55/x
  3. Step 3: Cross multiply
    1,735.89x = 2,602 × 639.55
  4. Step 4: Simplify right side
    1,735.89x = 1,664,109.10
  5. Step 5: Solve for x
    x = 1,664,109.10/1,735.89
  6. Step 6: Final answer
    x = 958.65

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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.