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Finding the Fourth Proportional to 1,133.28, 1,699.92 and 311.55

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Solution

The fourth proportional to 1,133.28, 1,699.92 and 311.55 is: 467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.28 : 1,699.92 = 311.55 : x
  2. Step 2: Convert to fraction form
    1,133.28/1,699.92 = 311.55/x
  3. Step 3: Cross multiply
    1,133.28x = 1,699.92 × 311.55
  4. Step 4: Simplify right side
    1,133.28x = 529,610.08
  5. Step 5: Solve for x
    x = 529,610.08/1,133.28
  6. Step 6: Final answer
    x = 467.33

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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.