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Finding the Fourth Proportional to 686.90, 1,029.55 and 296.77

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Solution

The fourth proportional to 686.90, 1,029.55 and 296.77 is: 444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.90 : 1,029.55 = 296.77 : x
  2. Step 2: Convert to fraction form
    686.90/1,029.55 = 296.77/x
  3. Step 3: Cross multiply
    686.90x = 1,029.55 × 296.77
  4. Step 4: Simplify right side
    686.90x = 305,539.55
  5. Step 5: Solve for x
    x = 305,539.55/686.90
  6. Step 6: Final answer
    x = 444.81

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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.