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Finding the Fourth Proportional to 686.85, 1,030.28 and 275.78

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Solution

The fourth proportional to 686.85, 1,030.28 and 275.78 is: 413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.85 : 1,030.28 = 275.78 : x
  2. Step 2: Convert to fraction form
    686.85/1,030.28 = 275.78/x
  3. Step 3: Cross multiply
    686.85x = 1,030.28 × 275.78
  4. Step 4: Simplify right side
    686.85x = 284,124.09
  5. Step 5: Solve for x
    x = 284,124.09/686.85
  6. Step 6: Final answer
    x = 413.66

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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.