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Finding the Fourth Proportional to 671.95, 1,007.14 and 342.57

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Solution

The fourth proportional to 671.95, 1,007.14 and 342.57 is: 513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.95 : 1,007.14 = 342.57 : x
  2. Step 2: Convert to fraction form
    671.95/1,007.14 = 342.57/x
  3. Step 3: Cross multiply
    671.95x = 1,007.14 × 342.57
  4. Step 4: Simplify right side
    671.95x = 345,015.95
  5. Step 5: Solve for x
    x = 345,015.95/671.95
  6. Step 6: Final answer
    x = 513.46

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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.