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Finding the Fourth Proportional to 688.54, 950.06 and 557.32

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Solution

The fourth proportional to 688.54, 950.06 and 557.32 is: 769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.54 : 950.06 = 557.32 : x
  2. Step 2: Convert to fraction form
    688.54/950.06 = 557.32/x
  3. Step 3: Cross multiply
    688.54x = 950.06 × 557.32
  4. Step 4: Simplify right side
    688.54x = 529,487.44
  5. Step 5: Solve for x
    x = 529,487.44/688.54
  6. Step 6: Final answer
    x = 769.00

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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.