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Finding the Fourth Proportional to 695.28, 959.49 and 546.06

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Solution

The fourth proportional to 695.28, 959.49 and 546.06 is: 753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.28 : 959.49 = 546.06 : x
  2. Step 2: Convert to fraction form
    695.28/959.49 = 546.06/x
  3. Step 3: Cross multiply
    695.28x = 959.49 × 546.06
  4. Step 4: Simplify right side
    695.28x = 523,939.11
  5. Step 5: Solve for x
    x = 523,939.11/695.28
  6. Step 6: Final answer
    x = 753.57

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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.