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Finding the Fourth Proportional to 1,133.25, 1,699.85 and 311.52

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Solution

The fourth proportional to 1,133.25, 1,699.85 and 311.52 is: 467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.25 : 1,699.85 = 311.52 : x
  2. Step 2: Convert to fraction form
    1,133.25/1,699.85 = 311.52/x
  3. Step 3: Cross multiply
    1,133.25x = 1,699.85 × 311.52
  4. Step 4: Simplify right side
    1,133.25x = 529,544.43
  5. Step 5: Solve for x
    x = 529,544.43/1,133.25
  6. Step 6: Final answer
    x = 467.28

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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.