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Finding the Fourth Proportional to 688.80, 1,033.37 and 396.74

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Solution

The fourth proportional to 688.80, 1,033.37 and 396.74 is: 595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.80 : 1,033.37 = 396.74 : x
  2. Step 2: Convert to fraction form
    688.80/1,033.37 = 396.74/x
  3. Step 3: Cross multiply
    688.80x = 1,033.37 × 396.74
  4. Step 4: Simplify right side
    688.80x = 409,979.21
  5. Step 5: Solve for x
    x = 409,979.21/688.80
  6. Step 6: Final answer
    x = 595.21

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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.