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Finding the Fourth Proportional to 1,728.08, 2,592.14 and 429.55

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Solution

The fourth proportional to 1,728.08, 2,592.14 and 429.55 is: 644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.08 : 2,592.14 = 429.55 : x
  2. Step 2: Convert to fraction form
    1,728.08/2,592.14 = 429.55/x
  3. Step 3: Cross multiply
    1,728.08x = 2,592.14 × 429.55
  4. Step 4: Simplify right side
    1,728.08x = 1,113,453.74
  5. Step 5: Solve for x
    x = 1,113,453.74/1,728.08
  6. Step 6: Final answer
    x = 644.33

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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.