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Finding the Fourth Proportional to 756.56, 1,135.40 and 464.36

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Solution

The fourth proportional to 756.56, 1,135.40 and 464.36 is: 696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.56 : 1,135.40 = 464.36 : x
  2. Step 2: Convert to fraction form
    756.56/1,135.40 = 464.36/x
  3. Step 3: Cross multiply
    756.56x = 1,135.40 × 464.36
  4. Step 4: Simplify right side
    756.56x = 527,234.34
  5. Step 5: Solve for x
    x = 527,234.34/756.56
  6. Step 6: Final answer
    x = 696.88

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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.