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Finding the Fourth Proportional to 949.94, 1,423.08 and 755.30

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Solution

The fourth proportional to 949.94, 1,423.08 and 755.30 is: 1,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.94 : 1,423.08 = 755.30 : x
  2. Step 2: Convert to fraction form
    949.94/1,423.08 = 755.30/x
  3. Step 3: Cross multiply
    949.94x = 1,423.08 × 755.30
  4. Step 4: Simplify right side
    949.94x = 1,074,852.32
  5. Step 5: Solve for x
    x = 1,074,852.32/949.94
  6. Step 6: Final answer
    x = 1,131.49

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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.