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Finding the Fourth Proportional to 737.32, 1,017.53 and 405.78

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Solution

The fourth proportional to 737.32, 1,017.53 and 405.78 is: 559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.32 : 1,017.53 = 405.78 : x
  2. Step 2: Convert to fraction form
    737.32/1,017.53 = 405.78/x
  3. Step 3: Cross multiply
    737.32x = 1,017.53 × 405.78
  4. Step 4: Simplify right side
    737.32x = 412,893.32
  5. Step 5: Solve for x
    x = 412,893.32/737.32
  6. Step 6: Final answer
    x = 559.99

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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.