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Finding the Fourth Proportional to 1,153.85, 1,729.37 and 665.89

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Solution

The fourth proportional to 1,153.85, 1,729.37 and 665.89 is: 998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.85 : 1,729.37 = 665.89 : x
  2. Step 2: Convert to fraction form
    1,153.85/1,729.37 = 665.89/x
  3. Step 3: Cross multiply
    1,153.85x = 1,729.37 × 665.89
  4. Step 4: Simplify right side
    1,153.85x = 1,151,567.53
  5. Step 5: Solve for x
    x = 1,151,567.53/1,153.85
  6. Step 6: Final answer
    x = 998.03

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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.