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Finding the Fourth Proportional to 687.16, 1,029.87 and 378.34

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Solution

The fourth proportional to 687.16, 1,029.87 and 378.34 is: 567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.16 : 1,029.87 = 378.34 : x
  2. Step 2: Convert to fraction form
    687.16/1,029.87 = 378.34/x
  3. Step 3: Cross multiply
    687.16x = 1,029.87 × 378.34
  4. Step 4: Simplify right side
    687.16x = 389,641.02
  5. Step 5: Solve for x
    x = 389,641.02/687.16
  6. Step 6: Final answer
    x = 567.03

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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.