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Finding the Fourth Proportional to 688.33, 948.99 and 511.30

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Solution

The fourth proportional to 688.33, 948.99 and 511.30 is: 704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.33 : 948.99 = 511.30 : x
  2. Step 2: Convert to fraction form
    688.33/948.99 = 511.30/x
  3. Step 3: Cross multiply
    688.33x = 948.99 × 511.30
  4. Step 4: Simplify right side
    688.33x = 485,218.59
  5. Step 5: Solve for x
    x = 485,218.59/688.33
  6. Step 6: Final answer
    x = 704.92

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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.