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Finding the Fourth Proportional to 949.92, 1,310.60 and 577.12

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Solution

The fourth proportional to 949.92, 1,310.60 and 577.12 is: 796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.92 : 1,310.60 = 577.12 : x
  2. Step 2: Convert to fraction form
    949.92/1,310.60 = 577.12/x
  3. Step 3: Cross multiply
    949.92x = 1,310.60 × 577.12
  4. Step 4: Simplify right side
    949.92x = 756,373.47
  5. Step 5: Solve for x
    x = 756,373.47/949.92
  6. Step 6: Final answer
    x = 796.25

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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.