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Finding the Fourth Proportional to 737.24, 1,017.40 and 405.66

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Solution

The fourth proportional to 737.24, 1,017.40 and 405.66 is: 559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.24 : 1,017.40 = 405.66 : x
  2. Step 2: Convert to fraction form
    737.24/1,017.40 = 405.66/x
  3. Step 3: Cross multiply
    737.24x = 1,017.40 × 405.66
  4. Step 4: Simplify right side
    737.24x = 412,718.48
  5. Step 5: Solve for x
    x = 412,718.48/737.24
  6. Step 6: Final answer
    x = 559.82

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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.