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Finding the Fourth Proportional to 756.52, 1,135.05 and 431.80

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Solution

The fourth proportional to 756.52, 1,135.05 and 431.80 is: 647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.52 : 1,135.05 = 431.80 : x
  2. Step 2: Convert to fraction form
    756.52/1,135.05 = 431.80/x
  3. Step 3: Cross multiply
    756.52x = 1,135.05 × 431.80
  4. Step 4: Simplify right side
    756.52x = 490,114.59
  5. Step 5: Solve for x
    x = 490,114.59/756.52
  6. Step 6: Final answer
    x = 647.85

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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.