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Finding the Fourth Proportional to 735.16, 1,014.47 and 440.25

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Solution

The fourth proportional to 735.16, 1,014.47 and 440.25 is: 607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.16 : 1,014.47 = 440.25 : x
  2. Step 2: Convert to fraction form
    735.16/1,014.47 = 440.25/x
  3. Step 3: Cross multiply
    735.16x = 1,014.47 × 440.25
  4. Step 4: Simplify right side
    735.16x = 446,613.14
  5. Step 5: Solve for x
    x = 446,613.14/735.16
  6. Step 6: Final answer
    x = 607.51

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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.