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Finding the Fourth Proportional to 753.99, 1,131.20 and 429.59

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Solution

The fourth proportional to 753.99, 1,131.20 and 429.59 is: 644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.99 : 1,131.20 = 429.59 : x
  2. Step 2: Convert to fraction form
    753.99/1,131.20 = 429.59/x
  3. Step 3: Cross multiply
    753.99x = 1,131.20 × 429.59
  4. Step 4: Simplify right side
    753.99x = 485,944.40
  5. Step 5: Solve for x
    x = 485,944.40/753.99
  6. Step 6: Final answer
    x = 644.50

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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.