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Finding the Fourth Proportional to 755.35, 1,131.80 and 430.34

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Solution

The fourth proportional to 755.35, 1,131.80 and 430.34 is: 644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.35 : 1,131.80 = 430.34 : x
  2. Step 2: Convert to fraction form
    755.35/1,131.80 = 430.34/x
  3. Step 3: Cross multiply
    755.35x = 1,131.80 × 430.34
  4. Step 4: Simplify right side
    755.35x = 487,051.00
  5. Step 5: Solve for x
    x = 487,051.00/755.35
  6. Step 6: Final answer
    x = 644.80

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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.