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Finding the Fourth Proportional to 1,117.28, 1,676.12 and 935.94

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Solution

The fourth proportional to 1,117.28, 1,676.12 and 935.94 is: 1,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.28 : 1,676.12 = 935.94 : x
  2. Step 2: Convert to fraction form
    1,117.28/1,676.12 = 935.94/x
  3. Step 3: Cross multiply
    1,117.28x = 1,676.12 × 935.94
  4. Step 4: Simplify right side
    1,117.28x = 1,568,747.75
  5. Step 5: Solve for x
    x = 1,568,747.75/1,117.28
  6. Step 6: Final answer
    x = 1,404.08

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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.