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Finding the Fourth Proportional to 737.18, 1,017.35 and 405.64

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Solution

The fourth proportional to 737.18, 1,017.35 and 405.64 is: 559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.18 : 1,017.35 = 405.64 : x
  2. Step 2: Convert to fraction form
    737.18/1,017.35 = 405.64/x
  3. Step 3: Cross multiply
    737.18x = 1,017.35 × 405.64
  4. Step 4: Simplify right side
    737.18x = 412,677.85
  5. Step 5: Solve for x
    x = 412,677.85/737.18
  6. Step 6: Final answer
    x = 559.81

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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.