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Finding the Fourth Proportional to 685.32, 1,027.98 and 547.72

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Solution

The fourth proportional to 685.32, 1,027.98 and 547.72 is: 821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.32 : 1,027.98 = 547.72 : x
  2. Step 2: Convert to fraction form
    685.32/1,027.98 = 547.72/x
  3. Step 3: Cross multiply
    685.32x = 1,027.98 × 547.72
  4. Step 4: Simplify right side
    685.32x = 563,042.64
  5. Step 5: Solve for x
    x = 563,042.64/685.32
  6. Step 6: Final answer
    x = 821.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.