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Finding the Fourth Proportional to 1,735.29, 2,602.96 and 639.65

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Solution

The fourth proportional to 1,735.29, 2,602.96 and 639.65 is: 959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.29 : 2,602.96 = 639.65 : x
  2. Step 2: Convert to fraction form
    1,735.29/2,602.96 = 639.65/x
  3. Step 3: Cross multiply
    1,735.29x = 2,602.96 × 639.65
  4. Step 4: Simplify right side
    1,735.29x = 1,664,994.00
  5. Step 5: Solve for x
    x = 1,664,994.00/1,735.29
  6. Step 6: Final answer
    x = 959.49

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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.