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Finding the Fourth Proportional to 1,289.05, 1,932.89 and 467.10

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Solution

The fourth proportional to 1,289.05, 1,932.89 and 467.10 is: 700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.05 : 1,932.89 = 467.10 : x
  2. Step 2: Convert to fraction form
    1,289.05/1,932.89 = 467.10/x
  3. Step 3: Cross multiply
    1,289.05x = 1,932.89 × 467.10
  4. Step 4: Simplify right side
    1,289.05x = 902,850.58
  5. Step 5: Solve for x
    x = 902,850.58/1,289.05
  6. Step 6: Final answer
    x = 700.40

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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.