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Finding the Fourth Proportional to 737.65, 1,017.99 and 422.98

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Solution

The fourth proportional to 737.65, 1,017.99 and 422.98 is: 583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.65 : 1,017.99 = 422.98 : x
  2. Step 2: Convert to fraction form
    737.65/1,017.99 = 422.98/x
  3. Step 3: Cross multiply
    737.65x = 1,017.99 × 422.98
  4. Step 4: Simplify right side
    737.65x = 430,582.21
  5. Step 5: Solve for x
    x = 430,582.21/737.65
  6. Step 6: Final answer
    x = 583.72

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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.