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Finding the Fourth Proportional to 1,098.17, 1,647.20 and 276.40

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Solution

The fourth proportional to 1,098.17, 1,647.20 and 276.40 is: 414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.17 : 1,647.20 = 276.40 : x
  2. Step 2: Convert to fraction form
    1,098.17/1,647.20 = 276.40/x
  3. Step 3: Cross multiply
    1,098.17x = 1,647.20 × 276.40
  4. Step 4: Simplify right side
    1,098.17x = 455,286.08
  5. Step 5: Solve for x
    x = 455,286.08/1,098.17
  6. Step 6: Final answer
    x = 414.59

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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.