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Finding the Fourth Proportional to 735, 1,102.50 and 279

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Solution

The fourth proportional to 735, 1,102.50 and 279 is: 418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    735 : 1,102.50 = 279 : x
  2. Step 2: Convert to fraction form
    735/1,102.50 = 279/x
  3. Step 3: Cross multiply
    735x = 1,102.50 × 279
  4. Step 4: Simplify right side
    735x = 307,597.50
  5. Step 5: Solve for x
    x = 307,597.50/735
  6. Step 6: Final answer
    x = 418.50

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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.