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Finding the Fourth Proportional to 1,152.34, 1,729.38 and 665.66

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Solution

The fourth proportional to 1,152.34, 1,729.38 and 665.66 is: 998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.34 : 1,729.38 = 665.66 : x
  2. Step 2: Convert to fraction form
    1,152.34/1,729.38 = 665.66/x
  3. Step 3: Cross multiply
    1,152.34x = 1,729.38 × 665.66
  4. Step 4: Simplify right side
    1,152.34x = 1,151,179.09
  5. Step 5: Solve for x
    x = 1,151,179.09/1,152.34
  6. Step 6: Final answer
    x = 998.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.