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Finding the Fourth Proportional to 756.19, 1,048.38 and 729.46

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Solution

The fourth proportional to 756.19, 1,048.38 and 729.46 is: 1,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.19 : 1,048.38 = 729.46 : x
  2. Step 2: Convert to fraction form
    756.19/1,048.38 = 729.46/x
  3. Step 3: Cross multiply
    756.19x = 1,048.38 × 729.46
  4. Step 4: Simplify right side
    756.19x = 764,751.27
  5. Step 5: Solve for x
    x = 764,751.27/756.19
  6. Step 6: Final answer
    x = 1,011.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.