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Finding the Fourth Proportional to 1,117.04, 1,676.64 and 791.42

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Solution

The fourth proportional to 1,117.04, 1,676.64 and 791.42 is: 1,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.04 : 1,676.64 = 791.42 : x
  2. Step 2: Convert to fraction form
    1,117.04/1,676.64 = 791.42/x
  3. Step 3: Cross multiply
    1,117.04x = 1,676.64 × 791.42
  4. Step 4: Simplify right side
    1,117.04x = 1,326,926.43
  5. Step 5: Solve for x
    x = 1,326,926.43/1,117.04
  6. Step 6: Final answer
    x = 1,187.90

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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.