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Finding the Fourth Proportional to 1,140.11, 1,710.09 and 676.44

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Solution

The fourth proportional to 1,140.11, 1,710.09 and 676.44 is: 1,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.11 : 1,710.09 = 676.44 : x
  2. Step 2: Convert to fraction form
    1,140.11/1,710.09 = 676.44/x
  3. Step 3: Cross multiply
    1,140.11x = 1,710.09 × 676.44
  4. Step 4: Simplify right side
    1,140.11x = 1,156,773.28
  5. Step 5: Solve for x
    x = 1,156,773.28/1,140.11
  6. Step 6: Final answer
    x = 1,014.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.