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Finding the Fourth Proportional to 1,209.28, 1,661.56 and 987.68

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Solution

The fourth proportional to 1,209.28, 1,661.56 and 987.68 is: 1,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.28 : 1,661.56 = 987.68 : x
  2. Step 2: Convert to fraction form
    1,209.28/1,661.56 = 987.68/x
  3. Step 3: Cross multiply
    1,209.28x = 1,661.56 × 987.68
  4. Step 4: Simplify right side
    1,209.28x = 1,641,089.58
  5. Step 5: Solve for x
    x = 1,641,089.58/1,209.28
  6. Step 6: Final answer
    x = 1,357.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.