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Finding the Fourth Proportional to 1,028.76, 1,542.75 and 809.82

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Solution

The fourth proportional to 1,028.76, 1,542.75 and 809.82 is: 1,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.76 : 1,542.75 = 809.82 : x
  2. Step 2: Convert to fraction form
    1,028.76/1,542.75 = 809.82/x
  3. Step 3: Cross multiply
    1,028.76x = 1,542.75 × 809.82
  4. Step 4: Simplify right side
    1,028.76x = 1,249,349.81
  5. Step 5: Solve for x
    x = 1,249,349.81/1,028.76
  6. Step 6: Final answer
    x = 1,214.42

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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.