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Finding the Fourth Proportional to 1,028.91, 1,542.77 and 566.58

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Solution

The fourth proportional to 1,028.91, 1,542.77 and 566.58 is: 849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.91 : 1,542.77 = 566.58 : x
  2. Step 2: Convert to fraction form
    1,028.91/1,542.77 = 566.58/x
  3. Step 3: Cross multiply
    1,028.91x = 1,542.77 × 566.58
  4. Step 4: Simplify right side
    1,028.91x = 874,102.63
  5. Step 5: Solve for x
    x = 874,102.63/1,028.91
  6. Step 6: Final answer
    x = 849.54

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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.