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Finding the Fourth Proportional to 1,153.09, 1,728.01 and 665.47

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Solution

The fourth proportional to 1,153.09, 1,728.01 and 665.47 is: 997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.09 : 1,728.01 = 665.47 : x
  2. Step 2: Convert to fraction form
    1,153.09/1,728.01 = 665.47/x
  3. Step 3: Cross multiply
    1,153.09x = 1,728.01 × 665.47
  4. Step 4: Simplify right side
    1,153.09x = 1,149,938.81
  5. Step 5: Solve for x
    x = 1,149,938.81/1,153.09
  6. Step 6: Final answer
    x = 997.27

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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.