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Finding the Fourth Proportional to 996.58, 1,375.51 and 646.66

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Solution

The fourth proportional to 996.58, 1,375.51 and 646.66 is: 892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.58 : 1,375.51 = 646.66 : x
  2. Step 2: Convert to fraction form
    996.58/1,375.51 = 646.66/x
  3. Step 3: Cross multiply
    996.58x = 1,375.51 × 646.66
  4. Step 4: Simplify right side
    996.58x = 889,482.24
  5. Step 5: Solve for x
    x = 889,482.24/996.58
  6. Step 6: Final answer
    x = 892.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.