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Finding the Fourth Proportional to 726.50, 1,002.46 and 415.94

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Solution

The fourth proportional to 726.50, 1,002.46 and 415.94 is: 573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.50 : 1,002.46 = 415.94 : x
  2. Step 2: Convert to fraction form
    726.50/1,002.46 = 415.94/x
  3. Step 3: Cross multiply
    726.50x = 1,002.46 × 415.94
  4. Step 4: Simplify right side
    726.50x = 416,963.21
  5. Step 5: Solve for x
    x = 416,963.21/726.50
  6. Step 6: Final answer
    x = 573.93

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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.