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Finding the Fourth Proportional to 756.84, 1,135.22 and 431.50

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Solution

The fourth proportional to 756.84, 1,135.22 and 431.50 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.84 : 1,135.22 = 431.50 : x
  2. Step 2: Convert to fraction form
    756.84/1,135.22 = 431.50/x
  3. Step 3: Cross multiply
    756.84x = 1,135.22 × 431.50
  4. Step 4: Simplify right side
    756.84x = 489,847.43
  5. Step 5: Solve for x
    x = 489,847.43/756.84
  6. Step 6: Final answer
    x = 647.23

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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.