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Finding the Fourth Proportional to 676.32, 1,012.56 and 419.04

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Solution

The fourth proportional to 676.32, 1,012.56 and 419.04 is: 627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.32 : 1,012.56 = 419.04 : x
  2. Step 2: Convert to fraction form
    676.32/1,012.56 = 419.04/x
  3. Step 3: Cross multiply
    676.32x = 1,012.56 × 419.04
  4. Step 4: Simplify right side
    676.32x = 424,303.14
  5. Step 5: Solve for x
    x = 424,303.14/676.32
  6. Step 6: Final answer
    x = 627.37

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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.