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Finding the Fourth Proportional to 1,152.96, 1,728.06 and 665

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Solution

The fourth proportional to 1,152.96, 1,728.06 and 665 is: 996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.96 : 1,728.06 = 665 : x
  2. Step 2: Convert to fraction form
    1,152.96/1,728.06 = 665/x
  3. Step 3: Cross multiply
    1,152.96x = 1,728.06 × 665
  4. Step 4: Simplify right side
    1,152.96x = 1,149,159.90
  5. Step 5: Solve for x
    x = 1,149,159.90/1,152.96
  6. Step 6: Final answer
    x = 996.70

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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.