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Finding the Fourth Proportional to 1,071.48, 1,478.36 and 599.38

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Solution

The fourth proportional to 1,071.48, 1,478.36 and 599.38 is: 826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.48 : 1,478.36 = 599.38 : x
  2. Step 2: Convert to fraction form
    1,071.48/1,478.36 = 599.38/x
  3. Step 3: Cross multiply
    1,071.48x = 1,478.36 × 599.38
  4. Step 4: Simplify right side
    1,071.48x = 886,099.42
  5. Step 5: Solve for x
    x = 886,099.42/1,071.48
  6. Step 6: Final answer
    x = 826.99

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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.