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Finding the Fourth Proportional to 1,206.69, 1,809.36 and 476.07

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Solution

The fourth proportional to 1,206.69, 1,809.36 and 476.07 is: 713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.69 : 1,809.36 = 476.07 : x
  2. Step 2: Convert to fraction form
    1,206.69/1,809.36 = 476.07/x
  3. Step 3: Cross multiply
    1,206.69x = 1,809.36 × 476.07
  4. Step 4: Simplify right side
    1,206.69x = 861,382.02
  5. Step 5: Solve for x
    x = 861,382.02/1,206.69
  6. Step 6: Final answer
    x = 713.84

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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.