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Finding the Fourth Proportional to 1,259.99, 1,889.23 and 566.54

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Solution

The fourth proportional to 1,259.99, 1,889.23 and 566.54 is: 849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.99 : 1,889.23 = 566.54 : x
  2. Step 2: Convert to fraction form
    1,259.99/1,889.23 = 566.54/x
  3. Step 3: Cross multiply
    1,259.99x = 1,889.23 × 566.54
  4. Step 4: Simplify right side
    1,259.99x = 1,070,324.36
  5. Step 5: Solve for x
    x = 1,070,324.36/1,259.99
  6. Step 6: Final answer
    x = 849.47

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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.