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Finding the Fourth Proportional to 688.91, 1,032.45 and 505.44

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Solution

The fourth proportional to 688.91, 1,032.45 and 505.44 is: 757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.91 : 1,032.45 = 505.44 : x
  2. Step 2: Convert to fraction form
    688.91/1,032.45 = 505.44/x
  3. Step 3: Cross multiply
    688.91x = 1,032.45 × 505.44
  4. Step 4: Simplify right side
    688.91x = 521,839.63
  5. Step 5: Solve for x
    x = 521,839.63/688.91
  6. Step 6: Final answer
    x = 757.49

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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.