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Finding the Fourth Proportional to 1,278.75, 1,918.15 and 705.27

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Solution

The fourth proportional to 1,278.75, 1,918.15 and 705.27 is: 1,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.75 : 1,918.15 = 705.27 : x
  2. Step 2: Convert to fraction form
    1,278.75/1,918.15 = 705.27/x
  3. Step 3: Cross multiply
    1,278.75x = 1,918.15 × 705.27
  4. Step 4: Simplify right side
    1,278.75x = 1,352,819.08
  5. Step 5: Solve for x
    x = 1,352,819.08/1,278.75
  6. Step 6: Final answer
    x = 1,057.92

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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.