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Finding the Fourth Proportional to 1,028.35, 1,542.39 and 653.14

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Solution

The fourth proportional to 1,028.35, 1,542.39 and 653.14 is: 979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.35 : 1,542.39 = 653.14 : x
  2. Step 2: Convert to fraction form
    1,028.35/1,542.39 = 653.14/x
  3. Step 3: Cross multiply
    1,028.35x = 1,542.39 × 653.14
  4. Step 4: Simplify right side
    1,028.35x = 1,007,396.60
  5. Step 5: Solve for x
    x = 1,007,396.60/1,028.35
  6. Step 6: Final answer
    x = 979.62

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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.