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Finding the Fourth Proportional to 949.23, 1,310.05 and 576.31

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Solution

The fourth proportional to 949.23, 1,310.05 and 576.31 is: 795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.23 : 1,310.05 = 576.31 : x
  2. Step 2: Convert to fraction form
    949.23/1,310.05 = 576.31/x
  3. Step 3: Cross multiply
    949.23x = 1,310.05 × 576.31
  4. Step 4: Simplify right side
    949.23x = 754,988.37
  5. Step 5: Solve for x
    x = 754,988.37/949.23
  6. Step 6: Final answer
    x = 795.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.