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Finding the Fourth Proportional to 737.65, 1,017.98 and 406.09

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Solution

The fourth proportional to 737.65, 1,017.98 and 406.09 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.65 : 1,017.98 = 406.09 : x
  2. Step 2: Convert to fraction form
    737.65/1,017.98 = 406.09/x
  3. Step 3: Cross multiply
    737.65x = 1,017.98 × 406.09
  4. Step 4: Simplify right side
    737.65x = 413,391.50
  5. Step 5: Solve for x
    x = 413,391.50/737.65
  6. Step 6: Final answer
    x = 560.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.