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Finding the Fourth Proportional to 1,071.99, 1,479.01 and 599.82

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Solution

The fourth proportional to 1,071.99, 1,479.01 and 599.82 is: 827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.99 : 1,479.01 = 599.82 : x
  2. Step 2: Convert to fraction form
    1,071.99/1,479.01 = 599.82/x
  3. Step 3: Cross multiply
    1,071.99x = 1,479.01 × 599.82
  4. Step 4: Simplify right side
    1,071.99x = 887,139.78
  5. Step 5: Solve for x
    x = 887,139.78/1,071.99
  6. Step 6: Final answer
    x = 827.56

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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.