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Finding the Fourth Proportional to 758.56, 1,137.66 and 210.76

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Solution

The fourth proportional to 758.56, 1,137.66 and 210.76 is: 316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.56 : 1,137.66 = 210.76 : x
  2. Step 2: Convert to fraction form
    758.56/1,137.66 = 210.76/x
  3. Step 3: Cross multiply
    758.56x = 1,137.66 × 210.76
  4. Step 4: Simplify right side
    758.56x = 239,773.22
  5. Step 5: Solve for x
    x = 239,773.22/758.56
  6. Step 6: Final answer
    x = 316.09

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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.