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Finding the Fourth Proportional to 1,206.71, 1,665.75 and 1,021.17

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Solution

The fourth proportional to 1,206.71, 1,665.75 and 1,021.17 is: 1,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.71 : 1,665.75 = 1,021.17 : x
  2. Step 2: Convert to fraction form
    1,206.71/1,665.75 = 1,021.17/x
  3. Step 3: Cross multiply
    1,206.71x = 1,665.75 × 1,021.17
  4. Step 4: Simplify right side
    1,206.71x = 1,701,005.60
  5. Step 5: Solve for x
    x = 1,701,005.60/1,206.71
  6. Step 6: Final answer
    x = 1,409.62

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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.