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Finding the Fourth Proportional to 1,728.59, 2,592.89 and 632.95

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Solution

The fourth proportional to 1,728.59, 2,592.89 and 632.95 is: 949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.59 : 2,592.89 = 632.95 : x
  2. Step 2: Convert to fraction form
    1,728.59/2,592.89 = 632.95/x
  3. Step 3: Cross multiply
    1,728.59x = 2,592.89 × 632.95
  4. Step 4: Simplify right side
    1,728.59x = 1,641,169.73
  5. Step 5: Solve for x
    x = 1,641,169.73/1,728.59
  6. Step 6: Final answer
    x = 949.43

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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.