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Finding the Fourth Proportional to 687.94, 1,029.68 and 505.30

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Solution

The fourth proportional to 687.94, 1,029.68 and 505.30 is: 756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.94 : 1,029.68 = 505.30 : x
  2. Step 2: Convert to fraction form
    687.94/1,029.68 = 505.30/x
  3. Step 3: Cross multiply
    687.94x = 1,029.68 × 505.30
  4. Step 4: Simplify right side
    687.94x = 520,297.30
  5. Step 5: Solve for x
    x = 520,297.30/687.94
  6. Step 6: Final answer
    x = 756.31

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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.