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Finding the Fourth Proportional to 735.14, 1,014.66 and 440.57

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Solution

The fourth proportional to 735.14, 1,014.66 and 440.57 is: 608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.14 : 1,014.66 = 440.57 : x
  2. Step 2: Convert to fraction form
    735.14/1,014.66 = 440.57/x
  3. Step 3: Cross multiply
    735.14x = 1,014.66 × 440.57
  4. Step 4: Simplify right side
    735.14x = 447,031.29
  5. Step 5: Solve for x
    x = 447,031.29/735.14
  6. Step 6: Final answer
    x = 608.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.