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Finding the Fourth Proportional to 1,097.28, 1,513.62 and 966.60

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Solution

The fourth proportional to 1,097.28, 1,513.62 and 966.60 is: 1,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.28 : 1,513.62 = 966.60 : x
  2. Step 2: Convert to fraction form
    1,097.28/1,513.62 = 966.60/x
  3. Step 3: Cross multiply
    1,097.28x = 1,513.62 × 966.60
  4. Step 4: Simplify right side
    1,097.28x = 1,463,065.09
  5. Step 5: Solve for x
    x = 1,463,065.09/1,097.28
  6. Step 6: Final answer
    x = 1,333.36

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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.