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Finding the Fourth Proportional to 1,164.18, 1,744.73 and 854.58

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Solution

The fourth proportional to 1,164.18, 1,744.73 and 854.58 is: 1,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.18 : 1,744.73 = 854.58 : x
  2. Step 2: Convert to fraction form
    1,164.18/1,744.73 = 854.58/x
  3. Step 3: Cross multiply
    1,164.18x = 1,744.73 × 854.58
  4. Step 4: Simplify right side
    1,164.18x = 1,491,011.36
  5. Step 5: Solve for x
    x = 1,491,011.36/1,164.18
  6. Step 6: Final answer
    x = 1,280.74

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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.