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Finding the Fourth Proportional to 1,259.69, 1,888.70 and 665.85

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Solution

The fourth proportional to 1,259.69, 1,888.70 and 665.85 is: 998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.69 : 1,888.70 = 665.85 : x
  2. Step 2: Convert to fraction form
    1,259.69/1,888.70 = 665.85/x
  3. Step 3: Cross multiply
    1,259.69x = 1,888.70 × 665.85
  4. Step 4: Simplify right side
    1,259.69x = 1,257,587.57
  5. Step 5: Solve for x
    x = 1,257,587.57/1,259.69
  6. Step 6: Final answer
    x = 998.33

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