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Finding the Fourth Proportional to 1,097.90, 1,646.83 and 276.17

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Solution

The fourth proportional to 1,097.90, 1,646.83 and 276.17 is: 414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.90 : 1,646.83 = 276.17 : x
  2. Step 2: Convert to fraction form
    1,097.90/1,646.83 = 276.17/x
  3. Step 3: Cross multiply
    1,097.90x = 1,646.83 × 276.17
  4. Step 4: Simplify right side
    1,097.90x = 454,805.04
  5. Step 5: Solve for x
    x = 454,805.04/1,097.90
  6. Step 6: Final answer
    x = 414.25

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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.