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Finding the Fourth Proportional to 1,206.86, 1,664.71 and 763.99

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Solution

The fourth proportional to 1,206.86, 1,664.71 and 763.99 is: 1,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.86 : 1,664.71 = 763.99 : x
  2. Step 2: Convert to fraction form
    1,206.86/1,664.71 = 763.99/x
  3. Step 3: Cross multiply
    1,206.86x = 1,664.71 × 763.99
  4. Step 4: Simplify right side
    1,206.86x = 1,271,815.72
  5. Step 5: Solve for x
    x = 1,271,815.72/1,206.86
  6. Step 6: Final answer
    x = 1,053.83

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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.