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Finding the Fourth Proportional to 1,209.66, 1,667.96 and 816

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Solution

The fourth proportional to 1,209.66, 1,667.96 and 816 is: 1,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.66 : 1,667.96 = 816 : x
  2. Step 2: Convert to fraction form
    1,209.66/1,667.96 = 816/x
  3. Step 3: Cross multiply
    1,209.66x = 1,667.96 × 816
  4. Step 4: Simplify right side
    1,209.66x = 1,361,055.36
  5. Step 5: Solve for x
    x = 1,361,055.36/1,209.66
  6. Step 6: Final answer
    x = 1,125.16

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Why These Related Problems?

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