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Finding the Fourth Proportional to 697.54, 962.26 and 541.21

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Solution

The fourth proportional to 697.54, 962.26 and 541.21 is: 746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.54 : 962.26 = 541.21 : x
  2. Step 2: Convert to fraction form
    697.54/962.26 = 541.21/x
  3. Step 3: Cross multiply
    697.54x = 962.26 × 541.21
  4. Step 4: Simplify right side
    697.54x = 520,784.73
  5. Step 5: Solve for x
    x = 520,784.73/697.54
  6. Step 6: Final answer
    x = 746.60

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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.