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Finding the Fourth Proportional to 948.99, 1,309.32 and 599.46

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Solution

The fourth proportional to 948.99, 1,309.32 and 599.46 is: 827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.99 : 1,309.32 = 599.46 : x
  2. Step 2: Convert to fraction form
    948.99/1,309.32 = 599.46/x
  3. Step 3: Cross multiply
    948.99x = 1,309.32 × 599.46
  4. Step 4: Simplify right side
    948.99x = 784,884.97
  5. Step 5: Solve for x
    x = 784,884.97/948.99
  6. Step 6: Final answer
    x = 827.07

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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.