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Finding the Fourth Proportional to 735.44, 1,014.16 and 514.32

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Solution

The fourth proportional to 735.44, 1,014.16 and 514.32 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.44 : 1,014.16 = 514.32 : x
  2. Step 2: Convert to fraction form
    735.44/1,014.16 = 514.32/x
  3. Step 3: Cross multiply
    735.44x = 1,014.16 × 514.32
  4. Step 4: Simplify right side
    735.44x = 521,602.77
  5. Step 5: Solve for x
    x = 521,602.77/735.44
  6. Step 6: Final answer
    x = 709.24

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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.