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Finding the Fourth Proportional to 647.16, 892.97 and 547.25

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Solution

The fourth proportional to 647.16, 892.97 and 547.25 is: 755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.16 : 892.97 = 547.25 : x
  2. Step 2: Convert to fraction form
    647.16/892.97 = 547.25/x
  3. Step 3: Cross multiply
    647.16x = 892.97 × 547.25
  4. Step 4: Simplify right side
    647.16x = 488,670.63
  5. Step 5: Solve for x
    x = 488,670.63/647.16
  6. Step 6: Final answer
    x = 755.10

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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.