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Finding the Fourth Proportional to 735.47, 1,103.19 and 406.40

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Solution

The fourth proportional to 735.47, 1,103.19 and 406.40 is: 609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.47 : 1,103.19 = 406.40 : x
  2. Step 2: Convert to fraction form
    735.47/1,103.19 = 406.40/x
  3. Step 3: Cross multiply
    735.47x = 1,103.19 × 406.40
  4. Step 4: Simplify right side
    735.47x = 448,330.90
  5. Step 5: Solve for x
    x = 448,330.90/735.47
  6. Step 6: Final answer
    x = 609.59

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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.