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Finding the Fourth Proportional to 756.02, 1,134.02 and 563.78

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Solution

The fourth proportional to 756.02, 1,134.02 and 563.78 is: 845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.02 : 1,134.02 = 563.78 : x
  2. Step 2: Convert to fraction form
    756.02/1,134.02 = 563.78/x
  3. Step 3: Cross multiply
    756.02x = 1,134.02 × 563.78
  4. Step 4: Simplify right side
    756.02x = 639,337.80
  5. Step 5: Solve for x
    x = 639,337.80/756.02
  6. Step 6: Final answer
    x = 845.66

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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.