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Finding the Fourth Proportional to 948.74, 1,309.47 and 599.90

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Solution

The fourth proportional to 948.74, 1,309.47 and 599.90 is: 827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.74 : 1,309.47 = 599.90 : x
  2. Step 2: Convert to fraction form
    948.74/1,309.47 = 599.90/x
  3. Step 3: Cross multiply
    948.74x = 1,309.47 × 599.90
  4. Step 4: Simplify right side
    948.74x = 785,551.05
  5. Step 5: Solve for x
    x = 785,551.05/948.74
  6. Step 6: Final answer
    x = 827.99

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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.