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Finding the Fourth Proportional to 737.35, 1,017.50 and 405.71

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Solution

The fourth proportional to 737.35, 1,017.50 and 405.71 is: 559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.35 : 1,017.50 = 405.71 : x
  2. Step 2: Convert to fraction form
    737.35/1,017.50 = 405.71/x
  3. Step 3: Cross multiply
    737.35x = 1,017.50 × 405.71
  4. Step 4: Simplify right side
    737.35x = 412,806.62
  5. Step 5: Solve for x
    x = 412,806.62/737.35
  6. Step 6: Final answer
    x = 559.85

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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.