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Finding the Fourth Proportional to 1,354.99, 2,031.23 and 533.27

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Solution

The fourth proportional to 1,354.99, 2,031.23 and 533.27 is: 799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.99 : 2,031.23 = 533.27 : x
  2. Step 2: Convert to fraction form
    1,354.99/2,031.23 = 533.27/x
  3. Step 3: Cross multiply
    1,354.99x = 2,031.23 × 533.27
  4. Step 4: Simplify right side
    1,354.99x = 1,083,194.02
  5. Step 5: Solve for x
    x = 1,083,194.02/1,354.99
  6. Step 6: Final answer
    x = 799.41

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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.