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Finding the Fourth Proportional to 735.50, 1,102.35 and 442.82

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Solution

The fourth proportional to 735.50, 1,102.35 and 442.82 is: 663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.50 : 1,102.35 = 442.82 : x
  2. Step 2: Convert to fraction form
    735.50/1,102.35 = 442.82/x
  3. Step 3: Cross multiply
    735.50x = 1,102.35 × 442.82
  4. Step 4: Simplify right side
    735.50x = 488,142.63
  5. Step 5: Solve for x
    x = 488,142.63/735.50
  6. Step 6: Final answer
    x = 663.69

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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.