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Finding the Fourth Proportional to 1,071.31, 1,478.27 and 599.24

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Solution

The fourth proportional to 1,071.31, 1,478.27 and 599.24 is: 826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.31 : 1,478.27 = 599.24 : x
  2. Step 2: Convert to fraction form
    1,071.31/1,478.27 = 599.24/x
  3. Step 3: Cross multiply
    1,071.31x = 1,478.27 × 599.24
  4. Step 4: Simplify right side
    1,071.31x = 885,835.52
  5. Step 5: Solve for x
    x = 885,835.52/1,071.31
  6. Step 6: Final answer
    x = 826.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.