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Finding the Fourth Proportional to 1,098.35, 1,650.36 and 827.00

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Solution

The fourth proportional to 1,098.35, 1,650.36 and 827.00 is: 1,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.35 : 1,650.36 = 827.00 : x
  2. Step 2: Convert to fraction form
    1,098.35/1,650.36 = 827.00/x
  3. Step 3: Cross multiply
    1,098.35x = 1,650.36 × 827.00
  4. Step 4: Simplify right side
    1,098.35x = 1,364,839.47
  5. Step 5: Solve for x
    x = 1,364,839.47/1,098.35
  6. Step 6: Final answer
    x = 1,242.63

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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.