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Finding the Fourth Proportional to 686.85, 1,030.51 and 378.31

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Solution

The fourth proportional to 686.85, 1,030.51 and 378.31 is: 567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.85 : 1,030.51 = 378.31 : x
  2. Step 2: Convert to fraction form
    686.85/1,030.51 = 378.31/x
  3. Step 3: Cross multiply
    686.85x = 1,030.51 × 378.31
  4. Step 4: Simplify right side
    686.85x = 389,852.24
  5. Step 5: Solve for x
    x = 389,852.24/686.85
  6. Step 6: Final answer
    x = 567.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.