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Finding the Fourth Proportional to 730.92, 1,097.64 and 654.60

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Solution

The fourth proportional to 730.92, 1,097.64 and 654.60 is: 983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.92 : 1,097.64 = 654.60 : x
  2. Step 2: Convert to fraction form
    730.92/1,097.64 = 654.60/x
  3. Step 3: Cross multiply
    730.92x = 1,097.64 × 654.60
  4. Step 4: Simplify right side
    730.92x = 718,515.14
  5. Step 5: Solve for x
    x = 718,515.14/730.92
  6. Step 6: Final answer
    x = 983.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.