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Finding the Fourth Proportional to 1,218.75, 1,828.67 and 705.75

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Solution

The fourth proportional to 1,218.75, 1,828.67 and 705.75 is: 1,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.75 : 1,828.67 = 705.75 : x
  2. Step 2: Convert to fraction form
    1,218.75/1,828.67 = 705.75/x
  3. Step 3: Cross multiply
    1,218.75x = 1,828.67 × 705.75
  4. Step 4: Simplify right side
    1,218.75x = 1,290,583.85
  5. Step 5: Solve for x
    x = 1,290,583.85/1,218.75
  6. Step 6: Final answer
    x = 1,058.94

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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.