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Finding the Fourth Proportional to 1,210.26, 1,667.81 and 816.60

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Solution

The fourth proportional to 1,210.26, 1,667.81 and 816.60 is: 1,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.26 : 1,667.81 = 816.60 : x
  2. Step 2: Convert to fraction form
    1,210.26/1,667.81 = 816.60/x
  3. Step 3: Cross multiply
    1,210.26x = 1,667.81 × 816.60
  4. Step 4: Simplify right side
    1,210.26x = 1,361,933.65
  5. Step 5: Solve for x
    x = 1,361,933.65/1,210.26
  6. Step 6: Final answer
    x = 1,125.32

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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.