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Finding the Fourth Proportional to 1,153.66, 1,729.27 and 575.32

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Solution

The fourth proportional to 1,153.66, 1,729.27 and 575.32 is: 862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.66 : 1,729.27 = 575.32 : x
  2. Step 2: Convert to fraction form
    1,153.66/1,729.27 = 575.32/x
  3. Step 3: Cross multiply
    1,153.66x = 1,729.27 × 575.32
  4. Step 4: Simplify right side
    1,153.66x = 994,872.09
  5. Step 5: Solve for x
    x = 994,872.09/1,153.66
  6. Step 6: Final answer
    x = 862.37

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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.