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Finding the Fourth Proportional to 948.71, 1,308.84 and 599.51

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Solution

The fourth proportional to 948.71, 1,308.84 and 599.51 is: 827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.71 : 1,308.84 = 599.51 : x
  2. Step 2: Convert to fraction form
    948.71/1,308.84 = 599.51/x
  3. Step 3: Cross multiply
    948.71x = 1,308.84 × 599.51
  4. Step 4: Simplify right side
    948.71x = 784,662.67
  5. Step 5: Solve for x
    x = 784,662.67/948.71
  6. Step 6: Final answer
    x = 827.08

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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.