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Finding the Fourth Proportional to 1,117.59, 1,676.66 and 655.75

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Solution

The fourth proportional to 1,117.59, 1,676.66 and 655.75 is: 983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.59 : 1,676.66 = 655.75 : x
  2. Step 2: Convert to fraction form
    1,117.59/1,676.66 = 655.75/x
  3. Step 3: Cross multiply
    1,117.59x = 1,676.66 × 655.75
  4. Step 4: Simplify right side
    1,117.59x = 1,099,469.80
  5. Step 5: Solve for x
    x = 1,099,469.80/1,117.59
  6. Step 6: Final answer
    x = 983.79

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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.