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Finding the Fourth Proportional to 1,236.63, 1,706.50 and 677.09

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Solution

The fourth proportional to 1,236.63, 1,706.50 and 677.09 is: 934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.63 : 1,706.50 = 677.09 : x
  2. Step 2: Convert to fraction form
    1,236.63/1,706.50 = 677.09/x
  3. Step 3: Cross multiply
    1,236.63x = 1,706.50 × 677.09
  4. Step 4: Simplify right side
    1,236.63x = 1,155,445.55
  5. Step 5: Solve for x
    x = 1,155,445.55/1,236.63
  6. Step 6: Final answer
    x = 934.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.