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Finding the Fourth Proportional to 765.65, 1,148.72 and 419.31

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Solution

The fourth proportional to 765.65, 1,148.72 and 419.31 is: 629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.65 : 1,148.72 = 419.31 : x
  2. Step 2: Convert to fraction form
    765.65/1,148.72 = 419.31/x
  3. Step 3: Cross multiply
    765.65x = 1,148.72 × 419.31
  4. Step 4: Simplify right side
    765.65x = 481,667.69
  5. Step 5: Solve for x
    x = 481,667.69/765.65
  6. Step 6: Final answer
    x = 629.09

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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.