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Finding the Fourth Proportional to 1,296.83, 1,945.91 and 566.31

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Solution

The fourth proportional to 1,296.83, 1,945.91 and 566.31 is: 849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.83 : 1,945.91 = 566.31 : x
  2. Step 2: Convert to fraction form
    1,296.83/1,945.91 = 566.31/x
  3. Step 3: Cross multiply
    1,296.83x = 1,945.91 × 566.31
  4. Step 4: Simplify right side
    1,296.83x = 1,101,988.29
  5. Step 5: Solve for x
    x = 1,101,988.29/1,296.83
  6. Step 6: Final answer
    x = 849.76

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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.