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Finding the Fourth Proportional to 1,730.98, 2,596.81 and 635.35

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Solution

The fourth proportional to 1,730.98, 2,596.81 and 635.35 is: 953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.98 : 2,596.81 = 635.35 : x
  2. Step 2: Convert to fraction form
    1,730.98/2,596.81 = 635.35/x
  3. Step 3: Cross multiply
    1,730.98x = 2,596.81 × 635.35
  4. Step 4: Simplify right side
    1,730.98x = 1,649,883.23
  5. Step 5: Solve for x
    x = 1,649,883.23/1,730.98
  6. Step 6: Final answer
    x = 953.15

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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.