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Finding the Fourth Proportional to 1,053.92, 1,579.36 and 566.80

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Solution

The fourth proportional to 1,053.92, 1,579.36 and 566.80 is: 849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.92 : 1,579.36 = 566.80 : x
  2. Step 2: Convert to fraction form
    1,053.92/1,579.36 = 566.80/x
  3. Step 3: Cross multiply
    1,053.92x = 1,579.36 × 566.80
  4. Step 4: Simplify right side
    1,053.92x = 895,181.25
  5. Step 5: Solve for x
    x = 895,181.25/1,053.92
  6. Step 6: Final answer
    x = 849.38

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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.