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Finding the Fourth Proportional to 765.47, 1,148.56 and 419.06

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Solution

The fourth proportional to 765.47, 1,148.56 and 419.06 is: 628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.47 : 1,148.56 = 419.06 : x
  2. Step 2: Convert to fraction form
    765.47/1,148.56 = 419.06/x
  3. Step 3: Cross multiply
    765.47x = 1,148.56 × 419.06
  4. Step 4: Simplify right side
    765.47x = 481,317.38
  5. Step 5: Solve for x
    x = 481,317.38/765.47
  6. Step 6: Final answer
    x = 628.78

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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.