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Finding the Fourth Proportional to 697.06, 962.34 and 520.98

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Solution

The fourth proportional to 697.06, 962.34 and 520.98 is: 719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.06 : 962.34 = 520.98 : x
  2. Step 2: Convert to fraction form
    697.06/962.34 = 520.98/x
  3. Step 3: Cross multiply
    697.06x = 962.34 × 520.98
  4. Step 4: Simplify right side
    697.06x = 501,359.89
  5. Step 5: Solve for x
    x = 501,359.89/697.06
  6. Step 6: Final answer
    x = 719.25

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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.