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Finding the Fourth Proportional to 1,286.58, 1,776.15 and 1,006.20

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Solution

The fourth proportional to 1,286.58, 1,776.15 and 1,006.20 is: 1,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.58 : 1,776.15 = 1,006.20 : x
  2. Step 2: Convert to fraction form
    1,286.58/1,776.15 = 1,006.20/x
  3. Step 3: Cross multiply
    1,286.58x = 1,776.15 × 1,006.20
  4. Step 4: Simplify right side
    1,286.58x = 1,787,162.13
  5. Step 5: Solve for x
    x = 1,787,162.13/1,286.58
  6. Step 6: Final answer
    x = 1,389.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.