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Finding the Fourth Proportional to 756.12, 1,133.37 and 430.80

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Solution

The fourth proportional to 756.12, 1,133.37 and 430.80 is: 645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.12 : 1,133.37 = 430.80 : x
  2. Step 2: Convert to fraction form
    756.12/1,133.37 = 430.80/x
  3. Step 3: Cross multiply
    756.12x = 1,133.37 × 430.80
  4. Step 4: Simplify right side
    756.12x = 488,255.80
  5. Step 5: Solve for x
    x = 488,255.80/756.12
  6. Step 6: Final answer
    x = 645.74

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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.