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Finding the Fourth Proportional to 756.81, 1,133.03 and 512.89

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Solution

The fourth proportional to 756.81, 1,133.03 and 512.89 is: 767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.81 : 1,133.03 = 512.89 : x
  2. Step 2: Convert to fraction form
    756.81/1,133.03 = 512.89/x
  3. Step 3: Cross multiply
    756.81x = 1,133.03 × 512.89
  4. Step 4: Simplify right side
    756.81x = 581,118.21
  5. Step 5: Solve for x
    x = 581,118.21/756.81
  6. Step 6: Final answer
    x = 767.85

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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.