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Finding the Fourth Proportional to 1,355.42, 2,031.60 and 533.54

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Solution

The fourth proportional to 1,355.42, 2,031.60 and 533.54 is: 799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.42 : 2,031.60 = 533.54 : x
  2. Step 2: Convert to fraction form
    1,355.42/2,031.60 = 533.54/x
  3. Step 3: Cross multiply
    1,355.42x = 2,031.60 × 533.54
  4. Step 4: Simplify right side
    1,355.42x = 1,083,939.86
  5. Step 5: Solve for x
    x = 1,083,939.86/1,355.42
  6. Step 6: Final answer
    x = 799.71

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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.