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Finding the Fourth Proportional to 699.34, 1,047.86 and 308.76

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Solution

The fourth proportional to 699.34, 1,047.86 and 308.76 is: 462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.34 : 1,047.86 = 308.76 : x
  2. Step 2: Convert to fraction form
    699.34/1,047.86 = 308.76/x
  3. Step 3: Cross multiply
    699.34x = 1,047.86 × 308.76
  4. Step 4: Simplify right side
    699.34x = 323,537.25
  5. Step 5: Solve for x
    x = 323,537.25/699.34
  6. Step 6: Final answer
    x = 462.63

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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.