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Finding the Fourth Proportional to 688.94, 1,033.59 and 400.13

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Solution

The fourth proportional to 688.94, 1,033.59 and 400.13 is: 600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.94 : 1,033.59 = 400.13 : x
  2. Step 2: Convert to fraction form
    688.94/1,033.59 = 400.13/x
  3. Step 3: Cross multiply
    688.94x = 1,033.59 × 400.13
  4. Step 4: Simplify right side
    688.94x = 413,563.20
  5. Step 5: Solve for x
    x = 413,563.20/688.94
  6. Step 6: Final answer
    x = 600.29

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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.