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Finding the Fourth Proportional to 783.80, 1,175.60 and 206.72

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Solution

The fourth proportional to 783.80, 1,175.60 and 206.72 is: 310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.80 : 1,175.60 = 206.72 : x
  2. Step 2: Convert to fraction form
    783.80/1,175.60 = 206.72/x
  3. Step 3: Cross multiply
    783.80x = 1,175.60 × 206.72
  4. Step 4: Simplify right side
    783.80x = 243,014.15
  5. Step 5: Solve for x
    x = 243,014.15/783.80
  6. Step 6: Final answer
    x = 310.05

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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.