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Finding the Fourth Proportional to 1,028.97, 1,542.24 and 479.99

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Solution

The fourth proportional to 1,028.97, 1,542.24 and 479.99 is: 719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.97 : 1,542.24 = 479.99 : x
  2. Step 2: Convert to fraction form
    1,028.97/1,542.24 = 479.99/x
  3. Step 3: Cross multiply
    1,028.97x = 1,542.24 × 479.99
  4. Step 4: Simplify right side
    1,028.97x = 740,263.63
  5. Step 5: Solve for x
    x = 740,263.63/1,028.97
  6. Step 6: Final answer
    x = 719.42

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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.