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Finding the Fourth Proportional to 735.16, 1,103.10 and 442.74

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Solution

The fourth proportional to 735.16, 1,103.10 and 442.74 is: 664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.16 : 1,103.10 = 442.74 : x
  2. Step 2: Convert to fraction form
    735.16/1,103.10 = 442.74/x
  3. Step 3: Cross multiply
    735.16x = 1,103.10 × 442.74
  4. Step 4: Simplify right side
    735.16x = 488,386.49
  5. Step 5: Solve for x
    x = 488,386.49/735.16
  6. Step 6: Final answer
    x = 664.33

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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.