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Finding the Fourth Proportional to 1,087.47, 1,628.76 and 827.07

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Solution

The fourth proportional to 1,087.47, 1,628.76 and 827.07 is: 1,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.47 : 1,628.76 = 827.07 : x
  2. Step 2: Convert to fraction form
    1,087.47/1,628.76 = 827.07/x
  3. Step 3: Cross multiply
    1,087.47x = 1,628.76 × 827.07
  4. Step 4: Simplify right side
    1,087.47x = 1,347,098.53
  5. Step 5: Solve for x
    x = 1,347,098.53/1,087.47
  6. Step 6: Final answer
    x = 1,238.75

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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.