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Finding the Fourth Proportional to 1,354.76, 2,031.79 and 533.04

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Solution

The fourth proportional to 1,354.76, 2,031.79 and 533.04 is: 799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.76 : 2,031.79 = 533.04 : x
  2. Step 2: Convert to fraction form
    1,354.76/2,031.79 = 533.04/x
  3. Step 3: Cross multiply
    1,354.76x = 2,031.79 × 533.04
  4. Step 4: Simplify right side
    1,354.76x = 1,083,020.26
  5. Step 5: Solve for x
    x = 1,083,020.26/1,354.76
  6. Step 6: Final answer
    x = 799.42

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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.