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Finding the Fourth Proportional to 756.14, 1,133.60 and 431.73

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Solution

The fourth proportional to 756.14, 1,133.60 and 431.73 is: 647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.14 : 1,133.60 = 431.73 : x
  2. Step 2: Convert to fraction form
    756.14/1,133.60 = 431.73/x
  3. Step 3: Cross multiply
    756.14x = 1,133.60 × 431.73
  4. Step 4: Simplify right side
    756.14x = 489,406.97
  5. Step 5: Solve for x
    x = 489,406.97/756.14
  6. Step 6: Final answer
    x = 647.25

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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.