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Finding the Fourth Proportional to 735.87, 1,104.06 and 461.64

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Solution

The fourth proportional to 735.87, 1,104.06 and 461.64 is: 692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.87 : 1,104.06 = 461.64 : x
  2. Step 2: Convert to fraction form
    735.87/1,104.06 = 461.64/x
  3. Step 3: Cross multiply
    735.87x = 1,104.06 × 461.64
  4. Step 4: Simplify right side
    735.87x = 509,684.13
  5. Step 5: Solve for x
    x = 509,684.13/735.87
  6. Step 6: Final answer
    x = 692.62

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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.