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Finding the Fourth Proportional to 739.99, 1,021.17 and 403.88

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Solution

The fourth proportional to 739.99, 1,021.17 and 403.88 is: 557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.99 : 1,021.17 = 403.88 : x
  2. Step 2: Convert to fraction form
    739.99/1,021.17 = 403.88/x
  3. Step 3: Cross multiply
    739.99x = 1,021.17 × 403.88
  4. Step 4: Simplify right side
    739.99x = 412,432.12
  5. Step 5: Solve for x
    x = 412,432.12/739.99
  6. Step 6: Final answer
    x = 557.35

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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.