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Finding the Fourth Proportional to 1,098.02, 1,647.03 and 276.29

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Solution

The fourth proportional to 1,098.02, 1,647.03 and 276.29 is: 414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.02 : 1,647.03 = 276.29 : x
  2. Step 2: Convert to fraction form
    1,098.02/1,647.03 = 276.29/x
  3. Step 3: Cross multiply
    1,098.02x = 1,647.03 × 276.29
  4. Step 4: Simplify right side
    1,098.02x = 455,056.54
  5. Step 5: Solve for x
    x = 455,056.54/1,098.02
  6. Step 6: Final answer
    x = 414.44

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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.