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Finding the Fourth Proportional to 1,526, 2,105.88 and 827.38

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Solution

The fourth proportional to 1,526, 2,105.88 and 827.38 is: 1,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526 : 2,105.88 = 827.38 : x
  2. Step 2: Convert to fraction form
    1,526/2,105.88 = 827.38/x
  3. Step 3: Cross multiply
    1,526x = 2,105.88 × 827.38
  4. Step 4: Simplify right side
    1,526x = 1,742,352.47
  5. Step 5: Solve for x
    x = 1,742,352.47/1,526
  6. Step 6: Final answer
    x = 1,141.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.