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Finding the Fourth Proportional to 1,097.92, 1,646.83 and 276.15

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Solution

The fourth proportional to 1,097.92, 1,646.83 and 276.15 is: 414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.92 : 1,646.83 = 276.15 : x
  2. Step 2: Convert to fraction form
    1,097.92/1,646.83 = 276.15/x
  3. Step 3: Cross multiply
    1,097.92x = 1,646.83 × 276.15
  4. Step 4: Simplify right side
    1,097.92x = 454,772.10
  5. Step 5: Solve for x
    x = 454,772.10/1,097.92
  6. Step 6: Final answer
    x = 414.21

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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.