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Finding the Fourth Proportional to 949.28, 1,310.66 and 595.36

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Solution

The fourth proportional to 949.28, 1,310.66 and 595.36 is: 822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.28 : 1,310.66 = 595.36 : x
  2. Step 2: Convert to fraction form
    949.28/1,310.66 = 595.36/x
  3. Step 3: Cross multiply
    949.28x = 1,310.66 × 595.36
  4. Step 4: Simplify right side
    949.28x = 780,314.54
  5. Step 5: Solve for x
    x = 780,314.54/949.28
  6. Step 6: Final answer
    x = 822.01

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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.