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Finding the Fourth Proportional to 1,152.06, 1,728.69 and 421.84

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Solution

The fourth proportional to 1,152.06, 1,728.69 and 421.84 is: 632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.06 : 1,728.69 = 421.84 : x
  2. Step 2: Convert to fraction form
    1,152.06/1,728.69 = 421.84/x
  3. Step 3: Cross multiply
    1,152.06x = 1,728.69 × 421.84
  4. Step 4: Simplify right side
    1,152.06x = 729,230.59
  5. Step 5: Solve for x
    x = 729,230.59/1,152.06
  6. Step 6: Final answer
    x = 632.98

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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.