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Finding the Fourth Proportional to 1,071.57, 1,478.75 and 599.44

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Solution

The fourth proportional to 1,071.57, 1,478.75 and 599.44 is: 827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.57 : 1,478.75 = 599.44 : x
  2. Step 2: Convert to fraction form
    1,071.57/1,478.75 = 599.44/x
  3. Step 3: Cross multiply
    1,071.57x = 1,478.75 × 599.44
  4. Step 4: Simplify right side
    1,071.57x = 886,421.90
  5. Step 5: Solve for x
    x = 886,421.90/1,071.57
  6. Step 6: Final answer
    x = 827.22

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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.