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Finding the Fourth Proportional to 686.72, 946.74 and 547.28

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Solution

The fourth proportional to 686.72, 946.74 and 547.28 is: 754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.72 : 946.74 = 547.28 : x
  2. Step 2: Convert to fraction form
    686.72/946.74 = 547.28/x
  3. Step 3: Cross multiply
    686.72x = 946.74 × 547.28
  4. Step 4: Simplify right side
    686.72x = 518,131.87
  5. Step 5: Solve for x
    x = 518,131.87/686.72
  6. Step 6: Final answer
    x = 754.50

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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.