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Finding the Fourth Proportional to 735.71, 1,102.59 and 406.72

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Solution

The fourth proportional to 735.71, 1,102.59 and 406.72 is: 609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.71 : 1,102.59 = 406.72 : x
  2. Step 2: Convert to fraction form
    735.71/1,102.59 = 406.72/x
  3. Step 3: Cross multiply
    735.71x = 1,102.59 × 406.72
  4. Step 4: Simplify right side
    735.71x = 448,445.64
  5. Step 5: Solve for x
    x = 448,445.64/735.71
  6. Step 6: Final answer
    x = 609.54

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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.