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Finding the Fourth Proportional to 1,071.90, 1,479.24 and 599.83

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Solution

The fourth proportional to 1,071.90, 1,479.24 and 599.83 is: 827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.90 : 1,479.24 = 599.83 : x
  2. Step 2: Convert to fraction form
    1,071.90/1,479.24 = 599.83/x
  3. Step 3: Cross multiply
    1,071.90x = 1,479.24 × 599.83
  4. Step 4: Simplify right side
    1,071.90x = 887,282.13
  5. Step 5: Solve for x
    x = 887,282.13/1,071.90
  6. Step 6: Final answer
    x = 827.77

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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.