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Finding the Fourth Proportional to 869.56, 1,304.34 and 504.16

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Solution

The fourth proportional to 869.56, 1,304.34 and 504.16 is: 756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.56 : 1,304.34 = 504.16 : x
  2. Step 2: Convert to fraction form
    869.56/1,304.34 = 504.16/x
  3. Step 3: Cross multiply
    869.56x = 1,304.34 × 504.16
  4. Step 4: Simplify right side
    869.56x = 657,596.05
  5. Step 5: Solve for x
    x = 657,596.05/869.56
  6. Step 6: Final answer
    x = 756.24

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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.