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Finding the Fourth Proportional to 1,518.59, 2,278.53 and 825.75

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Solution

The fourth proportional to 1,518.59, 2,278.53 and 825.75 is: 1,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.59 : 2,278.53 = 825.75 : x
  2. Step 2: Convert to fraction form
    1,518.59/2,278.53 = 825.75/x
  3. Step 3: Cross multiply
    1,518.59x = 2,278.53 × 825.75
  4. Step 4: Simplify right side
    1,518.59x = 1,881,496.15
  5. Step 5: Solve for x
    x = 1,881,496.15/1,518.59
  6. Step 6: Final answer
    x = 1,238.97

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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.