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Finding the Fourth Proportional to 893.01, 1,339.53 and 399.24

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Solution

The fourth proportional to 893.01, 1,339.53 and 399.24 is: 598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.01 : 1,339.53 = 399.24 : x
  2. Step 2: Convert to fraction form
    893.01/1,339.53 = 399.24/x
  3. Step 3: Cross multiply
    893.01x = 1,339.53 × 399.24
  4. Step 4: Simplify right side
    893.01x = 534,793.96
  5. Step 5: Solve for x
    x = 534,793.96/893.01
  6. Step 6: Final answer
    x = 598.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.