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Finding the Fourth Proportional to 1,728, 2,592.06 and 573.72

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Solution

The fourth proportional to 1,728, 2,592.06 and 573.72 is: 860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 2,592.06 = 573.72 : x
  2. Step 2: Convert to fraction form
    1,728/2,592.06 = 573.72/x
  3. Step 3: Cross multiply
    1,728x = 2,592.06 × 573.72
  4. Step 4: Simplify right side
    1,728x = 1,487,116.66
  5. Step 5: Solve for x
    x = 1,487,116.66/1,728
  6. Step 6: Final answer
    x = 860.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.